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Finding the Third Proportional to 297,648 and 702,492

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Solution

The third proportional to 297,648 and 702,492 is: 1,657,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,648 : 702,492 = 702,492 : x
  2. Step 2: Convert to fraction form
    297,648/702,492 = 702,492/x
  3. Step 3: Cross multiply
    297,648x = 702,492 × 702,492
  4. Step 4: Simplify right side
    297,648x = 493,495,010,064
  5. Step 5: Solve for x
    x = 493,495,010,064/297,648
  6. Step 6: Final answer
    x = 1,657,981.95

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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.