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Finding the Third Proportional to 333,610 and 491,587

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Solution

The third proportional to 333,610 and 491,587 is: 724,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,610 : 491,587 = 491,587 : x
  2. Step 2: Convert to fraction form
    333,610/491,587 = 491,587/x
  3. Step 3: Cross multiply
    333,610x = 491,587 × 491,587
  4. Step 4: Simplify right side
    333,610x = 241,657,778,569
  5. Step 5: Solve for x
    x = 241,657,778,569/333,610
  6. Step 6: Final answer
    x = 724,372.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.