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Finding the Third Proportional to 469,319 and 960,508

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Solution

The third proportional to 469,319 and 960,508 is: 1,965,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,319 : 960,508 = 960,508 : x
  2. Step 2: Convert to fraction form
    469,319/960,508 = 960,508/x
  3. Step 3: Cross multiply
    469,319x = 960,508 × 960,508
  4. Step 4: Simplify right side
    469,319x = 922,575,618,064
  5. Step 5: Solve for x
    x = 922,575,618,064/469,319
  6. Step 6: Final answer
    x = 1,965,775.13

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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.