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Finding the Third Proportional to 329,806 and 495,528

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Solution

The third proportional to 329,806 and 495,528 is: 744,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,806 : 495,528 = 495,528 : x
  2. Step 2: Convert to fraction form
    329,806/495,528 = 495,528/x
  3. Step 3: Cross multiply
    329,806x = 495,528 × 495,528
  4. Step 4: Simplify right side
    329,806x = 245,547,998,784
  5. Step 5: Solve for x
    x = 245,547,998,784/329,806
  6. Step 6: Final answer
    x = 744,522.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.