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Finding the Third Proportional to 292,207 and 634,239

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Solution

The third proportional to 292,207 and 634,239 is: 1,376,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,207 : 634,239 = 634,239 : x
  2. Step 2: Convert to fraction form
    292,207/634,239 = 634,239/x
  3. Step 3: Cross multiply
    292,207x = 634,239 × 634,239
  4. Step 4: Simplify right side
    292,207x = 402,259,109,121
  5. Step 5: Solve for x
    x = 402,259,109,121/292,207
  6. Step 6: Final answer
    x = 1,376,623.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.