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Finding the Third Proportional to 338,802 and 495,486

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Solution

The third proportional to 338,802 and 495,486 is: 724,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,802 : 495,486 = 495,486 : x
  2. Step 2: Convert to fraction form
    338,802/495,486 = 495,486/x
  3. Step 3: Cross multiply
    338,802x = 495,486 × 495,486
  4. Step 4: Simplify right side
    338,802x = 245,506,376,196
  5. Step 5: Solve for x
    x = 245,506,376,196/338,802
  6. Step 6: Final answer
    x = 724,630.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.