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Finding the Third Proportional to 337,490 and 712,926

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Solution

The third proportional to 337,490 and 712,926 is: 1,506,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,490 : 712,926 = 712,926 : x
  2. Step 2: Convert to fraction form
    337,490/712,926 = 712,926/x
  3. Step 3: Cross multiply
    337,490x = 712,926 × 712,926
  4. Step 4: Simplify right side
    337,490x = 508,263,481,476
  5. Step 5: Solve for x
    x = 508,263,481,476/337,490
  6. Step 6: Final answer
    x = 1,506,010.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.