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Finding the Third Proportional to 287,472 and 604,746

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Solution

The third proportional to 287,472 and 604,746 is: 1,272,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,472 : 604,746 = 604,746 : x
  2. Step 2: Convert to fraction form
    287,472/604,746 = 604,746/x
  3. Step 3: Cross multiply
    287,472x = 604,746 × 604,746
  4. Step 4: Simplify right side
    287,472x = 365,717,724,516
  5. Step 5: Solve for x
    x = 365,717,724,516/287,472
  6. Step 6: Final answer
    x = 1,272,185.55

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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.