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Finding the Third Proportional to 357,154 and 553,371

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Solution

The third proportional to 357,154 and 553,371 is: 857,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,154 : 553,371 = 553,371 : x
  2. Step 2: Convert to fraction form
    357,154/553,371 = 553,371/x
  3. Step 3: Cross multiply
    357,154x = 553,371 × 553,371
  4. Step 4: Simplify right side
    357,154x = 306,219,463,641
  5. Step 5: Solve for x
    x = 306,219,463,641/357,154
  6. Step 6: Final answer
    x = 857,387.75

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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.