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Finding the Third Proportional to 342,480 and 546,930

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Solution

The third proportional to 342,480 and 546,930 is: 873,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,480 : 546,930 = 546,930 : x
  2. Step 2: Convert to fraction form
    342,480/546,930 = 546,930/x
  3. Step 3: Cross multiply
    342,480x = 546,930 × 546,930
  4. Step 4: Simplify right side
    342,480x = 299,132,424,900
  5. Step 5: Solve for x
    x = 299,132,424,900/342,480
  6. Step 6: Final answer
    x = 873,430.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.