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Finding the Third Proportional to 348,840 and 750,924

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Solution

The third proportional to 348,840 and 750,924 is: 1,616,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,840 : 750,924 = 750,924 : x
  2. Step 2: Convert to fraction form
    348,840/750,924 = 750,924/x
  3. Step 3: Cross multiply
    348,840x = 750,924 × 750,924
  4. Step 4: Simplify right side
    348,840x = 563,886,853,776
  5. Step 5: Solve for x
    x = 563,886,853,776/348,840
  6. Step 6: Final answer
    x = 1,616,462.72

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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.