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Finding the Third Proportional to 348,543 and 715,959

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Solution

The third proportional to 348,543 and 715,959 is: 1,470,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,543 : 715,959 = 715,959 : x
  2. Step 2: Convert to fraction form
    348,543/715,959 = 715,959/x
  3. Step 3: Cross multiply
    348,543x = 715,959 × 715,959
  4. Step 4: Simplify right side
    348,543x = 512,597,289,681
  5. Step 5: Solve for x
    x = 512,597,289,681/348,543
  6. Step 6: Final answer
    x = 1,470,685.94

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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.