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Finding the Third Proportional to 295,264 and 458,070

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Solution

The third proportional to 295,264 and 458,070 is: 710,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,264 : 458,070 = 458,070 : x
  2. Step 2: Convert to fraction form
    295,264/458,070 = 458,070/x
  3. Step 3: Cross multiply
    295,264x = 458,070 × 458,070
  4. Step 4: Simplify right side
    295,264x = 209,828,124,900
  5. Step 5: Solve for x
    x = 209,828,124,900/295,264
  6. Step 6: Final answer
    x = 710,645.81

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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.