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Finding the Third Proportional to 292,417 and 607,810

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Solution

The third proportional to 292,417 and 607,810 is: 1,263,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,417 : 607,810 = 607,810 : x
  2. Step 2: Convert to fraction form
    292,417/607,810 = 607,810/x
  3. Step 3: Cross multiply
    292,417x = 607,810 × 607,810
  4. Step 4: Simplify right side
    292,417x = 369,432,996,100
  5. Step 5: Solve for x
    x = 369,432,996,100/292,417
  6. Step 6: Final answer
    x = 1,263,377.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.