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Finding the Third Proportional to 254,421 and 502,417.69

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Solution

The third proportional to 254,421 and 502,417.69 is: 992,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,421 : 502,417.69 = 502,417.69 : x
  2. Step 2: Convert to fraction form
    254,421/502,417.69 = 502,417.69/x
  3. Step 3: Cross multiply
    254,421x = 502,417.69 × 502,417.69
  4. Step 4: Simplify right side
    254,421x = 252,423,532,712.85
  5. Step 5: Solve for x
    x = 252,423,532,712.85/254,421
  6. Step 6: Final answer
    x = 992,148.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.