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Finding the Third Proportional to 293,460.19 and 466,817.06

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Solution

The third proportional to 293,460.19 and 466,817.06 is: 742,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,460.19 : 466,817.06 = 466,817.06 : x
  2. Step 2: Convert to fraction form
    293,460.19/466,817.06 = 466,817.06/x
  3. Step 3: Cross multiply
    293,460.19x = 466,817.06 × 466,817.06
  4. Step 4: Simplify right side
    293,460.19x = 217,918,169,841.13
  5. Step 5: Solve for x
    x = 217,918,169,841.13/293,460.19
  6. Step 6: Final answer
    x = 742,581.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.