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Finding the Third Proportional to 292,516 and 633,008

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Solution

The third proportional to 292,516 and 633,008 is: 1,369,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,516 : 633,008 = 633,008 : x
  2. Step 2: Convert to fraction form
    292,516/633,008 = 633,008/x
  3. Step 3: Cross multiply
    292,516x = 633,008 × 633,008
  4. Step 4: Simplify right side
    292,516x = 400,699,128,064
  5. Step 5: Solve for x
    x = 400,699,128,064/292,516
  6. Step 6: Final answer
    x = 1,369,836.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.