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Finding the Third Proportional to 410,526.19 and 653,732.81

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Solution

The third proportional to 410,526.19 and 653,732.81 is: 1,041,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,526.19 : 653,732.81 = 653,732.81 : x
  2. Step 2: Convert to fraction form
    410,526.19/653,732.81 = 653,732.81/x
  3. Step 3: Cross multiply
    410,526.19x = 653,732.81 × 653,732.81
  4. Step 4: Simplify right side
    410,526.19x = 427,366,590,139.16
  5. Step 5: Solve for x
    x = 427,366,590,139.16/410,526.19
  6. Step 6: Final answer
    x = 1,041,021.51

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Why These Related Problems?

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