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Finding the Third Proportional to 249,886 and 365,460

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Solution

The third proportional to 249,886 and 365,460 is: 534,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,886 : 365,460 = 365,460 : x
  2. Step 2: Convert to fraction form
    249,886/365,460 = 365,460/x
  3. Step 3: Cross multiply
    249,886x = 365,460 × 365,460
  4. Step 4: Simplify right side
    249,886x = 133,561,011,600
  5. Step 5: Solve for x
    x = 133,561,011,600/249,886
  6. Step 6: Final answer
    x = 534,487.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.