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Finding the Third Proportional to 292,064.63 and 441,994.13

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Solution

The third proportional to 292,064.63 and 441,994.13 is: 668,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,064.63 : 441,994.13 = 441,994.13 : x
  2. Step 2: Convert to fraction form
    292,064.63/441,994.13 = 441,994.13/x
  3. Step 3: Cross multiply
    292,064.63x = 441,994.13 × 441,994.13
  4. Step 4: Simplify right side
    292,064.63x = 195,358,806,534.52
  5. Step 5: Solve for x
    x = 195,358,806,534.52/292,064.63
  6. Step 6: Final answer
    x = 668,888.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.