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Finding the Third Proportional to 304,328 and 656,776

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Solution

The third proportional to 304,328 and 656,776 is: 1,417,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,328 : 656,776 = 656,776 : x
  2. Step 2: Convert to fraction form
    304,328/656,776 = 656,776/x
  3. Step 3: Cross multiply
    304,328x = 656,776 × 656,776
  4. Step 4: Simplify right side
    304,328x = 431,354,714,176
  5. Step 5: Solve for x
    x = 431,354,714,176/304,328
  6. Step 6: Final answer
    x = 1,417,400.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.