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Finding the Third Proportional to 369,932 and 808,352

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Solution

The third proportional to 369,932 and 808,352 is: 1,766,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,932 : 808,352 = 808,352 : x
  2. Step 2: Convert to fraction form
    369,932/808,352 = 808,352/x
  3. Step 3: Cross multiply
    369,932x = 808,352 × 808,352
  4. Step 4: Simplify right side
    369,932x = 653,432,955,904
  5. Step 5: Solve for x
    x = 653,432,955,904/369,932
  6. Step 6: Final answer
    x = 1,766,359.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.