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Finding the Third Proportional to 572,051 and 865,457

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Solution

The third proportional to 572,051 and 865,457 is: 1,309,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,051 : 865,457 = 865,457 : x
  2. Step 2: Convert to fraction form
    572,051/865,457 = 865,457/x
  3. Step 3: Cross multiply
    572,051x = 865,457 × 865,457
  4. Step 4: Simplify right side
    572,051x = 749,015,818,849
  5. Step 5: Solve for x
    x = 749,015,818,849/572,051
  6. Step 6: Final answer
    x = 1,309,351.47

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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.