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Finding the Third Proportional to 483,142 and 798,513

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Solution

The third proportional to 483,142 and 798,513 is: 1,319,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,142 : 798,513 = 798,513 : x
  2. Step 2: Convert to fraction form
    483,142/798,513 = 798,513/x
  3. Step 3: Cross multiply
    483,142x = 798,513 × 798,513
  4. Step 4: Simplify right side
    483,142x = 637,623,011,169
  5. Step 5: Solve for x
    x = 637,623,011,169/483,142
  6. Step 6: Final answer
    x = 1,319,742.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.