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Finding the Third Proportional to 292,076 and 442,013

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Solution

The third proportional to 292,076 and 442,013 is: 668,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,076 : 442,013 = 442,013 : x
  2. Step 2: Convert to fraction form
    292,076/442,013 = 442,013/x
  3. Step 3: Cross multiply
    292,076x = 442,013 × 442,013
  4. Step 4: Simplify right side
    292,076x = 195,375,492,169
  5. Step 5: Solve for x
    x = 195,375,492,169/292,076
  6. Step 6: Final answer
    x = 668,920.05

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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.