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Finding the Third Proportional to 398,972 and 865,764

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Solution

The third proportional to 398,972 and 865,764 is: 1,878,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,972 : 865,764 = 865,764 : x
  2. Step 2: Convert to fraction form
    398,972/865,764 = 865,764/x
  3. Step 3: Cross multiply
    398,972x = 865,764 × 865,764
  4. Step 4: Simplify right side
    398,972x = 749,547,303,696
  5. Step 5: Solve for x
    x = 749,547,303,696/398,972
  6. Step 6: Final answer
    x = 1,878,696.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.