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Finding the Third Proportional to 307,715.63 and 465,820.88

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Solution

The third proportional to 307,715.63 and 465,820.88 is: 705,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,715.63 : 465,820.88 = 465,820.88 : x
  2. Step 2: Convert to fraction form
    307,715.63/465,820.88 = 465,820.88/x
  3. Step 3: Cross multiply
    307,715.63x = 465,820.88 × 465,820.88
  4. Step 4: Simplify right side
    307,715.63x = 216,989,087,585.77
  5. Step 5: Solve for x
    x = 216,989,087,585.77/307,715.63
  6. Step 6: Final answer
    x = 705,161.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.