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Finding the Third Proportional to 287,464 and 604,718

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Solution

The third proportional to 287,464 and 604,718 is: 1,272,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,464 : 604,718 = 604,718 : x
  2. Step 2: Convert to fraction form
    287,464/604,718 = 604,718/x
  3. Step 3: Cross multiply
    287,464x = 604,718 × 604,718
  4. Step 4: Simplify right side
    287,464x = 365,683,859,524
  5. Step 5: Solve for x
    x = 365,683,859,524/287,464
  6. Step 6: Final answer
    x = 1,272,103.15

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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.