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Finding the Third Proportional to 292,464 and 607,905

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Solution

The third proportional to 292,464 and 607,905 is: 1,263,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,464 : 607,905 = 607,905 : x
  2. Step 2: Convert to fraction form
    292,464/607,905 = 607,905/x
  3. Step 3: Cross multiply
    292,464x = 607,905 × 607,905
  4. Step 4: Simplify right side
    292,464x = 369,548,489,025
  5. Step 5: Solve for x
    x = 369,548,489,025/292,464
  6. Step 6: Final answer
    x = 1,263,569.15

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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.