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Finding the Third Proportional to 336,506 and 741,292

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Solution

The third proportional to 336,506 and 741,292 is: 1,632,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,506 : 741,292 = 741,292 : x
  2. Step 2: Convert to fraction form
    336,506/741,292 = 741,292/x
  3. Step 3: Cross multiply
    336,506x = 741,292 × 741,292
  4. Step 4: Simplify right side
    336,506x = 549,513,829,264
  5. Step 5: Solve for x
    x = 549,513,829,264/336,506
  6. Step 6: Final answer
    x = 1,632,998.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.