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Finding the Third Proportional to 360,186 and 781,437

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Solution

The third proportional to 360,186 and 781,437 is: 1,695,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,186 : 781,437 = 781,437 : x
  2. Step 2: Convert to fraction form
    360,186/781,437 = 781,437/x
  3. Step 3: Cross multiply
    360,186x = 781,437 × 781,437
  4. Step 4: Simplify right side
    360,186x = 610,643,784,969
  5. Step 5: Solve for x
    x = 610,643,784,969/360,186
  6. Step 6: Final answer
    x = 1,695,356.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.