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Finding the Third Proportional to 329,484 and 719,384.50

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Solution

The third proportional to 329,484 and 719,384.50 is: 1,570,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,484 : 719,384.50 = 719,384.50 : x
  2. Step 2: Convert to fraction form
    329,484/719,384.50 = 719,384.50/x
  3. Step 3: Cross multiply
    329,484x = 719,384.50 × 719,384.50
  4. Step 4: Simplify right side
    329,484x = 517,514,058,840.25
  5. Step 5: Solve for x
    x = 517,514,058,840.25/329,484
  6. Step 6: Final answer
    x = 1,570,680.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.