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Finding the Third Proportional to 480,281 and 695,622

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Solution

The third proportional to 480,281 and 695,622 is: 1,007,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,281 : 695,622 = 695,622 : x
  2. Step 2: Convert to fraction form
    480,281/695,622 = 695,622/x
  3. Step 3: Cross multiply
    480,281x = 695,622 × 695,622
  4. Step 4: Simplify right side
    480,281x = 483,889,966,884
  5. Step 5: Solve for x
    x = 483,889,966,884/480,281
  6. Step 6: Final answer
    x = 1,007,514.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.