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Finding the Third Proportional to 334,189.55 and 721,646.72

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Solution

The third proportional to 334,189.55 and 721,646.72 is: 1,558,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,189.55 : 721,646.72 = 721,646.72 : x
  2. Step 2: Convert to fraction form
    334,189.55/721,646.72 = 721,646.72/x
  3. Step 3: Cross multiply
    334,189.55x = 721,646.72 × 721,646.72
  4. Step 4: Simplify right side
    334,189.55x = 520,773,986,682.64
  5. Step 5: Solve for x
    x = 520,773,986,682.64/334,189.55
  6. Step 6: Final answer
    x = 1,558,319.20

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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.