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Finding the Third Proportional to 563,095.13 and 1,328,680.13

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Solution

The third proportional to 563,095.13 and 1,328,680.13 is: 3,135,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,095.13 : 1,328,680.13 = 1,328,680.13 : x
  2. Step 2: Convert to fraction form
    563,095.13/1,328,680.13 = 1,328,680.13/x
  3. Step 3: Cross multiply
    563,095.13x = 1,328,680.13 × 1,328,680.13
  4. Step 4: Simplify right side
    563,095.13x = 1,765,390,874,570.02
  5. Step 5: Solve for x
    x = 1,765,390,874,570.02/563,095.13
  6. Step 6: Final answer
    x = 3,135,155.67

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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.