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Finding the Third Proportional to 371,654 and 795,776

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Solution

The third proportional to 371,654 and 795,776 is: 1,703,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,654 : 795,776 = 795,776 : x
  2. Step 2: Convert to fraction form
    371,654/795,776 = 795,776/x
  3. Step 3: Cross multiply
    371,654x = 795,776 × 795,776
  4. Step 4: Simplify right side
    371,654x = 633,259,442,176
  5. Step 5: Solve for x
    x = 633,259,442,176/371,654
  6. Step 6: Final answer
    x = 1,703,895.13

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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.