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Finding the Third Proportional to 572,442 and 841,159.50

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Solution

The third proportional to 572,442 and 841,159.50 is: 1,236,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,442 : 841,159.50 = 841,159.50 : x
  2. Step 2: Convert to fraction form
    572,442/841,159.50 = 841,159.50/x
  3. Step 3: Cross multiply
    572,442x = 841,159.50 × 841,159.50
  4. Step 4: Simplify right side
    572,442x = 707,549,304,440.25
  5. Step 5: Solve for x
    x = 707,549,304,440.25/572,442
  6. Step 6: Final answer
    x = 1,236,019.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.