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Finding the Third Proportional to 287,442 and 604,677.94

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Solution

The third proportional to 287,442 and 604,677.94 is: 1,272,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,442 : 604,677.94 = 604,677.94 : x
  2. Step 2: Convert to fraction form
    287,442/604,677.94 = 604,677.94/x
  3. Step 3: Cross multiply
    287,442x = 604,677.94 × 604,677.94
  4. Step 4: Simplify right side
    287,442x = 365,635,408,099.25
  5. Step 5: Solve for x
    x = 365,635,408,099.25/287,442
  6. Step 6: Final answer
    x = 1,272,031.95

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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.