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Finding the Third Proportional to 295,265 and 458,072

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Solution

The third proportional to 295,265 and 458,072 is: 710,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,265 : 458,072 = 458,072 : x
  2. Step 2: Convert to fraction form
    295,265/458,072 = 458,072/x
  3. Step 3: Cross multiply
    295,265x = 458,072 × 458,072
  4. Step 4: Simplify right side
    295,265x = 209,829,957,184
  5. Step 5: Solve for x
    x = 209,829,957,184/295,265
  6. Step 6: Final answer
    x = 710,649.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.