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Finding the Third Proportional to 369,693 and 756,873

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Solution

The third proportional to 369,693 and 756,873 is: 1,549,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,693 : 756,873 = 756,873 : x
  2. Step 2: Convert to fraction form
    369,693/756,873 = 756,873/x
  3. Step 3: Cross multiply
    369,693x = 756,873 × 756,873
  4. Step 4: Simplify right side
    369,693x = 572,856,738,129
  5. Step 5: Solve for x
    x = 572,856,738,129/369,693
  6. Step 6: Final answer
    x = 1,549,547.16

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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.