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Finding the Third Proportional to 357,381 and 553,591.13

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Solution

The third proportional to 357,381 and 553,591.13 is: 857,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,381 : 553,591.13 = 553,591.13 : x
  2. Step 2: Convert to fraction form
    357,381/553,591.13 = 553,591.13/x
  3. Step 3: Cross multiply
    357,381x = 553,591.13 × 553,591.13
  4. Step 4: Simplify right side
    357,381x = 306,463,133,678.77
  5. Step 5: Solve for x
    x = 306,463,133,678.77/357,381
  6. Step 6: Final answer
    x = 857,524.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.