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Finding the Third Proportional to 296,648.50 and 420,032

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Solution

The third proportional to 296,648.50 and 420,032 is: 594,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,648.50 : 420,032 = 420,032 : x
  2. Step 2: Convert to fraction form
    296,648.50/420,032 = 420,032/x
  3. Step 3: Cross multiply
    296,648.50x = 420,032 × 420,032
  4. Step 4: Simplify right side
    296,648.50x = 176,426,881,024
  5. Step 5: Solve for x
    x = 176,426,881,024/296,648.50
  6. Step 6: Final answer
    x = 594,733.77

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.