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Finding the Third Proportional to 333,582 and 491,550

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Solution

The third proportional to 333,582 and 491,550 is: 724,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,582 : 491,550 = 491,550 : x
  2. Step 2: Convert to fraction form
    333,582/491,550 = 491,550/x
  3. Step 3: Cross multiply
    333,582x = 491,550 × 491,550
  4. Step 4: Simplify right side
    333,582x = 241,621,402,500
  5. Step 5: Solve for x
    x = 241,621,402,500/333,582
  6. Step 6: Final answer
    x = 724,323.86

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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.