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Finding the Third Proportional to 498,521 and 1,087,263

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Solution

The third proportional to 498,521 and 1,087,263 is: 2,371,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,521 : 1,087,263 = 1,087,263 : x
  2. Step 2: Convert to fraction form
    498,521/1,087,263 = 1,087,263/x
  3. Step 3: Cross multiply
    498,521x = 1,087,263 × 1,087,263
  4. Step 4: Simplify right side
    498,521x = 1,182,140,831,169
  5. Step 5: Solve for x
    x = 1,182,140,831,169/498,521
  6. Step 6: Final answer
    x = 2,371,295.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.