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Finding the Third Proportional to 297,620 and 702,437

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Solution

The third proportional to 297,620 and 702,437 is: 1,657,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,620 : 702,437 = 702,437 : x
  2. Step 2: Convert to fraction form
    297,620/702,437 = 702,437/x
  3. Step 3: Cross multiply
    297,620x = 702,437 × 702,437
  4. Step 4: Simplify right side
    297,620x = 493,417,738,969
  5. Step 5: Solve for x
    x = 493,417,738,969/297,620
  6. Step 6: Final answer
    x = 1,657,878.30

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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.