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Finding the Third Proportional to 295,294 and 458,111

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Solution

The third proportional to 295,294 and 458,111 is: 710,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,294 : 458,111 = 458,111 : x
  2. Step 2: Convert to fraction form
    295,294/458,111 = 458,111/x
  3. Step 3: Cross multiply
    295,294x = 458,111 × 458,111
  4. Step 4: Simplify right side
    295,294x = 209,865,688,321
  5. Step 5: Solve for x
    x = 209,865,688,321/295,294
  6. Step 6: Final answer
    x = 710,700.82

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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.