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Finding the Third Proportional to 287,468 and 604,724

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Solution

The third proportional to 287,468 and 604,724 is: 1,272,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,468 : 604,724 = 604,724 : x
  2. Step 2: Convert to fraction form
    287,468/604,724 = 604,724/x
  3. Step 3: Cross multiply
    287,468x = 604,724 × 604,724
  4. Step 4: Simplify right side
    287,468x = 365,691,116,176
  5. Step 5: Solve for x
    x = 365,691,116,176/287,468
  6. Step 6: Final answer
    x = 1,272,110.69

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