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Finding the Third Proportional to 348,120 and 524,952

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Solution

The third proportional to 348,120 and 524,952 is: 791,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,120 : 524,952 = 524,952 : x
  2. Step 2: Convert to fraction form
    348,120/524,952 = 524,952/x
  3. Step 3: Cross multiply
    348,120x = 524,952 × 524,952
  4. Step 4: Simplify right side
    348,120x = 275,574,602,304
  5. Step 5: Solve for x
    x = 275,574,602,304/348,120
  6. Step 6: Final answer
    x = 791,608.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.