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Finding the Third Proportional to 338,534.25 and 525,878.25

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Solution

The third proportional to 338,534.25 and 525,878.25 is: 816,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,534.25 : 525,878.25 = 525,878.25 : x
  2. Step 2: Convert to fraction form
    338,534.25/525,878.25 = 525,878.25/x
  3. Step 3: Cross multiply
    338,534.25x = 525,878.25 × 525,878.25
  4. Step 4: Simplify right side
    338,534.25x = 276,547,933,823.06
  5. Step 5: Solve for x
    x = 276,547,933,823.06/338,534.25
  6. Step 6: Final answer
    x = 816,897.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.