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Finding the Third Proportional to 295,893 and 418,681

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Solution

The third proportional to 295,893 and 418,681 is: 592,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,893 : 418,681 = 418,681 : x
  2. Step 2: Convert to fraction form
    295,893/418,681 = 418,681/x
  3. Step 3: Cross multiply
    295,893x = 418,681 × 418,681
  4. Step 4: Simplify right side
    295,893x = 175,293,779,761
  5. Step 5: Solve for x
    x = 175,293,779,761/295,893
  6. Step 6: Final answer
    x = 592,422.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.