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Finding the Third Proportional to 287,461.50 and 604,713

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Solution

The third proportional to 287,461.50 and 604,713 is: 1,272,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,461.50 : 604,713 = 604,713 : x
  2. Step 2: Convert to fraction form
    287,461.50/604,713 = 604,713/x
  3. Step 3: Cross multiply
    287,461.50x = 604,713 × 604,713
  4. Step 4: Simplify right side
    287,461.50x = 365,677,812,369
  5. Step 5: Solve for x
    x = 365,677,812,369/287,461.50
  6. Step 6: Final answer
    x = 1,272,093.18

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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.