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Finding the Third Proportional to 370,411.50 and 553,178.25

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Solution

The third proportional to 370,411.50 and 553,178.25 is: 826,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,411.50 : 553,178.25 = 553,178.25 : x
  2. Step 2: Convert to fraction form
    370,411.50/553,178.25 = 553,178.25/x
  3. Step 3: Cross multiply
    370,411.50x = 553,178.25 × 553,178.25
  4. Step 4: Simplify right side
    370,411.50x = 306,006,176,273.06
  5. Step 5: Solve for x
    x = 306,006,176,273.06/370,411.50
  6. Step 6: Final answer
    x = 826,124.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.