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Finding the Third Proportional to 369,712 and 756,906

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Solution

The third proportional to 369,712 and 756,906 is: 1,549,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,712 : 756,906 = 756,906 : x
  2. Step 2: Convert to fraction form
    369,712/756,906 = 756,906/x
  3. Step 3: Cross multiply
    369,712x = 756,906 × 756,906
  4. Step 4: Simplify right side
    369,712x = 572,906,692,836
  5. Step 5: Solve for x
    x = 572,906,692,836/369,712
  6. Step 6: Final answer
    x = 1,549,602.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.