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Finding the Third Proportional to 369,618 and 791,724

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Solution

The third proportional to 369,618 and 791,724 is: 1,695,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,618 : 791,724 = 791,724 : x
  2. Step 2: Convert to fraction form
    369,618/791,724 = 791,724/x
  3. Step 3: Cross multiply
    369,618x = 791,724 × 791,724
  4. Step 4: Simplify right side
    369,618x = 626,826,892,176
  5. Step 5: Solve for x
    x = 626,826,892,176/369,618
  6. Step 6: Final answer
    x = 1,695,877.61

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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.