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Finding the Third Proportional to 344,148.75 and 745,503.75

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Solution

The third proportional to 344,148.75 and 745,503.75 is: 1,614,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,148.75 : 745,503.75 = 745,503.75 : x
  2. Step 2: Convert to fraction form
    344,148.75/745,503.75 = 745,503.75/x
  3. Step 3: Cross multiply
    344,148.75x = 745,503.75 × 745,503.75
  4. Step 4: Simplify right side
    344,148.75x = 555,775,841,264.06
  5. Step 5: Solve for x
    x = 555,775,841,264.06/344,148.75
  6. Step 6: Final answer
    x = 1,614,929.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.