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Finding the Third Proportional to 292,656 and 427,806

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Solution

The third proportional to 292,656 and 427,806 is: 625,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,656 : 427,806 = 427,806 : x
  2. Step 2: Convert to fraction form
    292,656/427,806 = 427,806/x
  3. Step 3: Cross multiply
    292,656x = 427,806 × 427,806
  4. Step 4: Simplify right side
    292,656x = 183,017,973,636
  5. Step 5: Solve for x
    x = 183,017,973,636/292,656
  6. Step 6: Final answer
    x = 625,368.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.