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Finding the Third Proportional to 469,266,598.50 and 709,939,570.50

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Solution

The third proportional to 469,266,598.50 and 709,939,570.50 is: 1,074,046,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,266,598.50 : 709,939,570.50 = 709,939,570.50 : x
  2. Step 2: Convert to fraction form
    469,266,598.50/709,939,570.50 = 709,939,570.50/x
  3. Step 3: Cross multiply
    469,266,598.50x = 709,939,570.50 × 709,939,570.50
  4. Step 4: Simplify right side
    469,266,598.50x = 504,014,193,761,724,480
  5. Step 5: Solve for x
    x = 504,014,193,761,724,480/469,266,598.50
  6. Step 6: Final answer
    x = 1,074,046,598.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.