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Finding the Third Proportional to 287,229 and 402,498.50

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Solution

The third proportional to 287,229 and 402,498.50 is: 564,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,229 : 402,498.50 = 402,498.50 : x
  2. Step 2: Convert to fraction form
    287,229/402,498.50 = 402,498.50/x
  3. Step 3: Cross multiply
    287,229x = 402,498.50 × 402,498.50
  4. Step 4: Simplify right side
    287,229x = 162,005,042,502.25
  5. Step 5: Solve for x
    x = 162,005,042,502.25/287,229
  6. Step 6: Final answer
    x = 564,027.46

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.