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Finding the Third Proportional to 333,739.13 and 719,452.13

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Solution

The third proportional to 333,739.13 and 719,452.13 is: 1,550,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,739.13 : 719,452.13 = 719,452.13 : x
  2. Step 2: Convert to fraction form
    333,739.13/719,452.13 = 719,452.13/x
  3. Step 3: Cross multiply
    333,739.13x = 719,452.13 × 719,452.13
  4. Step 4: Simplify right side
    333,739.13x = 517,611,360,167.02
  5. Step 5: Solve for x
    x = 517,611,360,167.02/333,739.13
  6. Step 6: Final answer
    x = 1,550,946.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.