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Finding the Third Proportional to 287,484 and 604,758

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Solution

The third proportional to 287,484 and 604,758 is: 1,272,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,484 : 604,758 = 604,758 : x
  2. Step 2: Convert to fraction form
    287,484/604,758 = 604,758/x
  3. Step 3: Cross multiply
    287,484x = 604,758 × 604,758
  4. Step 4: Simplify right side
    287,484x = 365,732,238,564
  5. Step 5: Solve for x
    x = 365,732,238,564/287,484
  6. Step 6: Final answer
    x = 1,272,182.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.