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Finding the Third Proportional to 294,501.19 and 472,503.56

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Solution

The third proportional to 294,501.19 and 472,503.56 is: 758,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,501.19 : 472,503.56 = 472,503.56 : x
  2. Step 2: Convert to fraction form
    294,501.19/472,503.56 = 472,503.56/x
  3. Step 3: Cross multiply
    294,501.19x = 472,503.56 × 472,503.56
  4. Step 4: Simplify right side
    294,501.19x = 223,259,616,575.19
  5. Step 5: Solve for x
    x = 223,259,616,575.19/294,501.19
  6. Step 6: Final answer
    x = 758,094.11

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.