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Finding the Third Proportional to 369,352 and 808,769

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Solution

The third proportional to 369,352 and 808,769 is: 1,770,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,352 : 808,769 = 808,769 : x
  2. Step 2: Convert to fraction form
    369,352/808,769 = 808,769/x
  3. Step 3: Cross multiply
    369,352x = 808,769 × 808,769
  4. Step 4: Simplify right side
    369,352x = 654,107,295,361
  5. Step 5: Solve for x
    x = 654,107,295,361/369,352
  6. Step 6: Final answer
    x = 1,770,959.13

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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.