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Finding the Third Proportional to 292,030 and 633,630

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Solution

The third proportional to 292,030 and 633,630 is: 1,374,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,030 : 633,630 = 633,630 : x
  2. Step 2: Convert to fraction form
    292,030/633,630 = 633,630/x
  3. Step 3: Cross multiply
    292,030x = 633,630 × 633,630
  4. Step 4: Simplify right side
    292,030x = 401,486,976,900
  5. Step 5: Solve for x
    x = 401,486,976,900/292,030
  6. Step 6: Final answer
    x = 1,374,814.15

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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.