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Finding the Third Proportional to 356,591 and 840,929.50

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Solution

The third proportional to 356,591 and 840,929.50 is: 1,983,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,591 : 840,929.50 = 840,929.50 : x
  2. Step 2: Convert to fraction form
    356,591/840,929.50 = 840,929.50/x
  3. Step 3: Cross multiply
    356,591x = 840,929.50 × 840,929.50
  4. Step 4: Simplify right side
    356,591x = 707,162,423,970.25
  5. Step 5: Solve for x
    x = 707,162,423,970.25/356,591
  6. Step 6: Final answer
    x = 1,983,119.10

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.