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Finding the Third Proportional to 297,070 and 584,297

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Solution

The third proportional to 297,070 and 584,297 is: 1,149,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,070 : 584,297 = 584,297 : x
  2. Step 2: Convert to fraction form
    297,070/584,297 = 584,297/x
  3. Step 3: Cross multiply
    297,070x = 584,297 × 584,297
  4. Step 4: Simplify right side
    297,070x = 341,402,984,209
  5. Step 5: Solve for x
    x = 341,402,984,209/297,070
  6. Step 6: Final answer
    x = 1,149,234.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.