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Finding the Third Proportional to 343,396.13 and 736,615.69

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Solution

The third proportional to 343,396.13 and 736,615.69 is: 1,580,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,396.13 : 736,615.69 = 736,615.69 : x
  2. Step 2: Convert to fraction form
    343,396.13/736,615.69 = 736,615.69/x
  3. Step 3: Cross multiply
    343,396.13x = 736,615.69 × 736,615.69
  4. Step 4: Simplify right side
    343,396.13x = 542,602,671,071.10
  5. Step 5: Solve for x
    x = 542,602,671,071.10/343,396.13
  6. Step 6: Final answer
    x = 1,580,107.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.