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Finding the Third Proportional to 572,691 and 841,505.50

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Solution

The third proportional to 572,691 and 841,505.50 is: 1,236,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,691 : 841,505.50 = 841,505.50 : x
  2. Step 2: Convert to fraction form
    572,691/841,505.50 = 841,505.50/x
  3. Step 3: Cross multiply
    572,691x = 841,505.50 × 841,505.50
  4. Step 4: Simplify right side
    572,691x = 708,131,506,530.25
  5. Step 5: Solve for x
    x = 708,131,506,530.25/572,691
  6. Step 6: Final answer
    x = 1,236,498.40

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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.