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Finding the Third Proportional to 340,352 and 727,040

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Solution

The third proportional to 340,352 and 727,040 is: 1,553,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,352 : 727,040 = 727,040 : x
  2. Step 2: Convert to fraction form
    340,352/727,040 = 727,040/x
  3. Step 3: Cross multiply
    340,352x = 727,040 × 727,040
  4. Step 4: Simplify right side
    340,352x = 528,587,161,600
  5. Step 5: Solve for x
    x = 528,587,161,600/340,352
  6. Step 6: Final answer
    x = 1,553,060.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.