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Finding the Third Proportional to 342,888 and 527,364

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Solution

The third proportional to 342,888 and 527,364 is: 811,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,888 : 527,364 = 527,364 : x
  2. Step 2: Convert to fraction form
    342,888/527,364 = 527,364/x
  3. Step 3: Cross multiply
    342,888x = 527,364 × 527,364
  4. Step 4: Simplify right side
    342,888x = 278,112,788,496
  5. Step 5: Solve for x
    x = 278,112,788,496/342,888
  6. Step 6: Final answer
    x = 811,089.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.