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Finding the Third Proportional to 463,006.13 and 712,567.13

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Solution

The third proportional to 463,006.13 and 712,567.13 is: 1,096,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,006.13 : 712,567.13 = 712,567.13 : x
  2. Step 2: Convert to fraction form
    463,006.13/712,567.13 = 712,567.13/x
  3. Step 3: Cross multiply
    463,006.13x = 712,567.13 × 712,567.13
  4. Step 4: Simplify right side
    463,006.13x = 507,751,907,630.77
  5. Step 5: Solve for x
    x = 507,751,907,630.77/463,006.13
  6. Step 6: Final answer
    x = 1,096,641.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.