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Finding the Third Proportional to 292,259 and 456,843

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Solution

The third proportional to 292,259 and 456,843 is: 714,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,259 : 456,843 = 456,843 : x
  2. Step 2: Convert to fraction form
    292,259/456,843 = 456,843/x
  3. Step 3: Cross multiply
    292,259x = 456,843 × 456,843
  4. Step 4: Simplify right side
    292,259x = 208,705,526,649
  5. Step 5: Solve for x
    x = 208,705,526,649/292,259
  6. Step 6: Final answer
    x = 714,111.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.