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Finding the Third Proportional to 480,284 and 695,624

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Solution

The third proportional to 480,284 and 695,624 is: 1,007,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,284 : 695,624 = 695,624 : x
  2. Step 2: Convert to fraction form
    480,284/695,624 = 695,624/x
  3. Step 3: Cross multiply
    480,284x = 695,624 × 695,624
  4. Step 4: Simplify right side
    480,284x = 483,892,749,376
  5. Step 5: Solve for x
    x = 483,892,749,376/480,284
  6. Step 6: Final answer
    x = 1,007,513.78

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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.