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Finding the Third Proportional to 588,904 and 918,348

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Solution

The third proportional to 588,904 and 918,348 is: 1,432,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,904 : 918,348 = 918,348 : x
  2. Step 2: Convert to fraction form
    588,904/918,348 = 918,348/x
  3. Step 3: Cross multiply
    588,904x = 918,348 × 918,348
  4. Step 4: Simplify right side
    588,904x = 843,363,049,104
  5. Step 5: Solve for x
    x = 843,363,049,104/588,904
  6. Step 6: Final answer
    x = 1,432,089.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.