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Finding the Third Proportional to 297,686 and 702,587

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Solution

The third proportional to 297,686 and 702,587 is: 1,658,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,686 : 702,587 = 702,587 : x
  2. Step 2: Convert to fraction form
    297,686/702,587 = 702,587/x
  3. Step 3: Cross multiply
    297,686x = 702,587 × 702,587
  4. Step 4: Simplify right side
    297,686x = 493,628,492,569
  5. Step 5: Solve for x
    x = 493,628,492,569/297,686
  6. Step 6: Final answer
    x = 1,658,218.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.