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Finding the Third Proportional to 332,534.25 and 714,962.25

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Solution

The third proportional to 332,534.25 and 714,962.25 is: 1,537,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,534.25 : 714,962.25 = 714,962.25 : x
  2. Step 2: Convert to fraction form
    332,534.25/714,962.25 = 714,962.25/x
  3. Step 3: Cross multiply
    332,534.25x = 714,962.25 × 714,962.25
  4. Step 4: Simplify right side
    332,534.25x = 511,171,018,925.06
  5. Step 5: Solve for x
    x = 511,171,018,925.06/332,534.25
  6. Step 6: Final answer
    x = 1,537,198.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.