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Finding the Third Proportional to 369,008.25 and 781,893

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Solution

The third proportional to 369,008.25 and 781,893 is: 1,656,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,008.25 : 781,893 = 781,893 : x
  2. Step 2: Convert to fraction form
    369,008.25/781,893 = 781,893/x
  3. Step 3: Cross multiply
    369,008.25x = 781,893 × 781,893
  4. Step 4: Simplify right side
    369,008.25x = 611,356,663,449
  5. Step 5: Solve for x
    x = 611,356,663,449/369,008.25
  6. Step 6: Final answer
    x = 1,656,756.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.