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Finding the Third Proportional to 572,323.50 and 885,412.13

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Solution

The third proportional to 572,323.50 and 885,412.13 is: 1,369,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,323.50 : 885,412.13 = 885,412.13 : x
  2. Step 2: Convert to fraction form
    572,323.50/885,412.13 = 885,412.13/x
  3. Step 3: Cross multiply
    572,323.50x = 885,412.13 × 885,412.13
  4. Step 4: Simplify right side
    572,323.50x = 783,954,631,097.02
  5. Step 5: Solve for x
    x = 783,954,631,097.02/572,323.50
  6. Step 6: Final answer
    x = 1,369,775.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.