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Finding the Third Proportional to 292,044 and 633,658

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Solution

The third proportional to 292,044 and 633,658 is: 1,374,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,044 : 633,658 = 633,658 : x
  2. Step 2: Convert to fraction form
    292,044/633,658 = 633,658/x
  3. Step 3: Cross multiply
    292,044x = 633,658 × 633,658
  4. Step 4: Simplify right side
    292,044x = 401,522,460,964
  5. Step 5: Solve for x
    x = 401,522,460,964/292,044
  6. Step 6: Final answer
    x = 1,374,869.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.