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Finding the Third Proportional to 483,320.25 and 710,177.63

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Solution

The third proportional to 483,320.25 and 710,177.63 is: 1,043,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,320.25 : 710,177.63 = 710,177.63 : x
  2. Step 2: Convert to fraction form
    483,320.25/710,177.63 = 710,177.63/x
  3. Step 3: Cross multiply
    483,320.25x = 710,177.63 × 710,177.63
  4. Step 4: Simplify right side
    483,320.25x = 504,352,259,050.64
  5. Step 5: Solve for x
    x = 504,352,259,050.64/483,320.25
  6. Step 6: Final answer
    x = 1,043,515.68

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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.