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Finding the Third Proportional to 295,423 and 458,307

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Solution

The third proportional to 295,423 and 458,307 is: 710,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,423 : 458,307 = 458,307 : x
  2. Step 2: Convert to fraction form
    295,423/458,307 = 458,307/x
  3. Step 3: Cross multiply
    295,423x = 458,307 × 458,307
  4. Step 4: Simplify right side
    295,423x = 210,045,306,249
  5. Step 5: Solve for x
    x = 210,045,306,249/295,423
  6. Step 6: Final answer
    x = 710,998.49

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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.