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Finding the Third Proportional to 314,787.38 and 687,200.06

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Solution

The third proportional to 314,787.38 and 687,200.06 is: 1,500,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,787.38 : 687,200.06 = 687,200.06 : x
  2. Step 2: Convert to fraction form
    314,787.38/687,200.06 = 687,200.06/x
  3. Step 3: Cross multiply
    314,787.38x = 687,200.06 × 687,200.06
  4. Step 4: Simplify right side
    314,787.38x = 472,243,925,900.00
  5. Step 5: Solve for x
    x = 472,243,925,900.00/314,787.38
  6. Step 6: Final answer
    x = 1,500,199.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.