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Finding the Third Proportional to 469,570.50 and 706,509

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Solution

The third proportional to 469,570.50 and 706,509 is: 1,063,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,570.50 : 706,509 = 706,509 : x
  2. Step 2: Convert to fraction form
    469,570.50/706,509 = 706,509/x
  3. Step 3: Cross multiply
    469,570.50x = 706,509 × 706,509
  4. Step 4: Simplify right side
    469,570.50x = 499,154,967,081
  5. Step 5: Solve for x
    x = 499,154,967,081/469,570.50
  6. Step 6: Final answer
    x = 1,063,003.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.