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Finding the Third Proportional to 462,729.94 and 1,031,798.25

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Solution

The third proportional to 462,729.94 and 1,031,798.25 is: 2,300,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,729.94 : 1,031,798.25 = 1,031,798.25 : x
  2. Step 2: Convert to fraction form
    462,729.94/1,031,798.25 = 1,031,798.25/x
  3. Step 3: Cross multiply
    462,729.94x = 1,031,798.25 × 1,031,798.25
  4. Step 4: Simplify right side
    462,729.94x = 1,064,607,628,703.06
  5. Step 5: Solve for x
    x = 1,064,607,628,703.06/462,729.94
  6. Step 6: Final answer
    x = 2,300,710.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.