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Finding the Third Proportional to 292,770 and 436,718.25

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Solution

The third proportional to 292,770 and 436,718.25 is: 651,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,770 : 436,718.25 = 436,718.25 : x
  2. Step 2: Convert to fraction form
    292,770/436,718.25 = 436,718.25/x
  3. Step 3: Cross multiply
    292,770x = 436,718.25 × 436,718.25
  4. Step 4: Simplify right side
    292,770x = 190,722,829,883.06
  5. Step 5: Solve for x
    x = 190,722,829,883.06/292,770
  6. Step 6: Final answer
    x = 651,442.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.