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Finding the Third Proportional to 295,213 and 469,970

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Solution

The third proportional to 295,213 and 469,970 is: 748,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,213 : 469,970 = 469,970 : x
  2. Step 2: Convert to fraction form
    295,213/469,970 = 469,970/x
  3. Step 3: Cross multiply
    295,213x = 469,970 × 469,970
  4. Step 4: Simplify right side
    295,213x = 220,871,800,900
  5. Step 5: Solve for x
    x = 220,871,800,900/295,213
  6. Step 6: Final answer
    x = 748,177.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.