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Finding the Third Proportional to 465,146 and 700,442

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Solution

The third proportional to 465,146 and 700,442 is: 1,054,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,146 : 700,442 = 700,442 : x
  2. Step 2: Convert to fraction form
    465,146/700,442 = 700,442/x
  3. Step 3: Cross multiply
    465,146x = 700,442 × 700,442
  4. Step 4: Simplify right side
    465,146x = 490,618,995,364
  5. Step 5: Solve for x
    x = 490,618,995,364/465,146
  6. Step 6: Final answer
    x = 1,054,763.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.