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Finding the Third Proportional to 687,295.13 and 1,010,356.03

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Solution

The third proportional to 687,295.13 and 1,010,356.03 is: 1,485,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,295.13 : 1,010,356.03 = 1,010,356.03 : x
  2. Step 2: Convert to fraction form
    687,295.13/1,010,356.03 = 1,010,356.03/x
  3. Step 3: Cross multiply
    687,295.13x = 1,010,356.03 × 1,010,356.03
  4. Step 4: Simplify right side
    687,295.13x = 1,020,819,309,883.25
  5. Step 5: Solve for x
    x = 1,020,819,309,883.25/687,295.13
  6. Step 6: Final answer
    x = 1,485,270.70

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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.