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Finding the Third Proportional to 401,567.63 and 591,244.31

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Solution

The third proportional to 401,567.63 and 591,244.31 is: 870,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,567.63 : 591,244.31 = 591,244.31 : x
  2. Step 2: Convert to fraction form
    401,567.63/591,244.31 = 591,244.31/x
  3. Step 3: Cross multiply
    401,567.63x = 591,244.31 × 591,244.31
  4. Step 4: Simplify right side
    401,567.63x = 349,569,837,063.60
  5. Step 5: Solve for x
    x = 349,569,837,063.60/401,567.63
  6. Step 6: Final answer
    x = 870,513.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.