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Finding the Third Proportional to 499,672.13 and 712,140.75

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Solution

The third proportional to 499,672.13 and 712,140.75 is: 1,014,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,672.13 : 712,140.75 = 712,140.75 : x
  2. Step 2: Convert to fraction form
    499,672.13/712,140.75 = 712,140.75/x
  3. Step 3: Cross multiply
    499,672.13x = 712,140.75 × 712,140.75
  4. Step 4: Simplify right side
    499,672.13x = 507,144,447,810.56
  5. Step 5: Solve for x
    x = 507,144,447,810.56/499,672.13
  6. Step 6: Final answer
    x = 1,014,954.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.