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Finding the Third Proportional to 713,670 and 968,769

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Solution

The third proportional to 713,670 and 968,769 is: 1,315,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,670 : 968,769 = 968,769 : x
  2. Step 2: Convert to fraction form
    713,670/968,769 = 968,769/x
  3. Step 3: Cross multiply
    713,670x = 968,769 × 968,769
  4. Step 4: Simplify right side
    713,670x = 938,513,375,361
  5. Step 5: Solve for x
    x = 938,513,375,361/713,670
  6. Step 6: Final answer
    x = 1,315,052.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.