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Finding the Third Proportional to 563,442.96 and 1,328,724

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Solution

The third proportional to 563,442.96 and 1,328,724 is: 3,133,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,442.96 : 1,328,724 = 1,328,724 : x
  2. Step 2: Convert to fraction form
    563,442.96/1,328,724 = 1,328,724/x
  3. Step 3: Cross multiply
    563,442.96x = 1,328,724 × 1,328,724
  4. Step 4: Simplify right side
    563,442.96x = 1,765,507,468,176
  5. Step 5: Solve for x
    x = 1,765,507,468,176/563,442.96
  6. Step 6: Final answer
    x = 3,133,427.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.