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Finding the Third Proportional to 304,319 and 656,752

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Solution

The third proportional to 304,319 and 656,752 is: 1,417,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,319 : 656,752 = 656,752 : x
  2. Step 2: Convert to fraction form
    304,319/656,752 = 656,752/x
  3. Step 3: Cross multiply
    304,319x = 656,752 × 656,752
  4. Step 4: Simplify right side
    304,319x = 431,323,189,504
  5. Step 5: Solve for x
    x = 431,323,189,504/304,319
  6. Step 6: Final answer
    x = 1,417,339.01

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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.