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Finding the Third Proportional to 370,127 and 557,924.50

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Solution

The third proportional to 370,127 and 557,924.50 is: 841,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,127 : 557,924.50 = 557,924.50 : x
  2. Step 2: Convert to fraction form
    370,127/557,924.50 = 557,924.50/x
  3. Step 3: Cross multiply
    370,127x = 557,924.50 × 557,924.50
  4. Step 4: Simplify right side
    370,127x = 311,279,747,700.25
  5. Step 5: Solve for x
    x = 311,279,747,700.25/370,127
  6. Step 6: Final answer
    x = 841,007.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.