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Finding the Third Proportional to 338,532.47 and 525,875.63

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Solution

The third proportional to 338,532.47 and 525,875.63 is: 816,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,532.47 : 525,875.63 = 525,875.63 : x
  2. Step 2: Convert to fraction form
    338,532.47/525,875.63 = 525,875.63/x
  3. Step 3: Cross multiply
    338,532.47x = 525,875.63 × 525,875.63
  4. Step 4: Simplify right side
    338,532.47x = 276,545,172,969.14
  5. Step 5: Solve for x
    x = 276,545,172,969.14/338,532.47
  6. Step 6: Final answer
    x = 816,894.09

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