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Finding the Third Proportional to 379,432.50 and 812,658

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Solution

The third proportional to 379,432.50 and 812,658 is: 1,740,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,432.50 : 812,658 = 812,658 : x
  2. Step 2: Convert to fraction form
    379,432.50/812,658 = 812,658/x
  3. Step 3: Cross multiply
    379,432.50x = 812,658 × 812,658
  4. Step 4: Simplify right side
    379,432.50x = 660,413,024,964
  5. Step 5: Solve for x
    x = 660,413,024,964/379,432.50
  6. Step 6: Final answer
    x = 1,740,528.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.