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Finding the Third Proportional to 250,490.50 and 537,413

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Solution

The third proportional to 250,490.50 and 537,413 is: 1,152,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,490.50 : 537,413 = 537,413 : x
  2. Step 2: Convert to fraction form
    250,490.50/537,413 = 537,413/x
  3. Step 3: Cross multiply
    250,490.50x = 537,413 × 537,413
  4. Step 4: Simplify right side
    250,490.50x = 288,812,732,569
  5. Step 5: Solve for x
    x = 288,812,732,569/250,490.50
  6. Step 6: Final answer
    x = 1,152,988.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.