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Finding the Third Proportional to 292,977 and 627,426

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Solution

The third proportional to 292,977 and 627,426 is: 1,343,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,977 : 627,426 = 627,426 : x
  2. Step 2: Convert to fraction form
    292,977/627,426 = 627,426/x
  3. Step 3: Cross multiply
    292,977x = 627,426 × 627,426
  4. Step 4: Simplify right side
    292,977x = 393,663,385,476
  5. Step 5: Solve for x
    x = 393,663,385,476/292,977
  6. Step 6: Final answer
    x = 1,343,666.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.