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Finding the Third Proportional to 466,969 and 700,454

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Solution

The third proportional to 466,969 and 700,454 is: 1,050,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,969 : 700,454 = 700,454 : x
  2. Step 2: Convert to fraction form
    466,969/700,454 = 700,454/x
  3. Step 3: Cross multiply
    466,969x = 700,454 × 700,454
  4. Step 4: Simplify right side
    466,969x = 490,635,806,116
  5. Step 5: Solve for x
    x = 490,635,806,116/466,969
  6. Step 6: Final answer
    x = 1,050,681.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.