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Finding the Third Proportional to 336,294 and 514,292

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Solution

The third proportional to 336,294 and 514,292 is: 786,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,294 : 514,292 = 514,292 : x
  2. Step 2: Convert to fraction form
    336,294/514,292 = 514,292/x
  3. Step 3: Cross multiply
    336,294x = 514,292 × 514,292
  4. Step 4: Simplify right side
    336,294x = 264,496,261,264
  5. Step 5: Solve for x
    x = 264,496,261,264/336,294
  6. Step 6: Final answer
    x = 786,503.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.