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Finding the Third Proportional to 245,365 and 347,952

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Solution

The third proportional to 245,365 and 347,952 is: 493,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,365 : 347,952 = 347,952 : x
  2. Step 2: Convert to fraction form
    245,365/347,952 = 347,952/x
  3. Step 3: Cross multiply
    245,365x = 347,952 × 347,952
  4. Step 4: Simplify right side
    245,365x = 121,070,594,304
  5. Step 5: Solve for x
    x = 121,070,594,304/245,365
  6. Step 6: Final answer
    x = 493,430.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.