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Finding the Third Proportional to 287,611.50 and 604,971

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Solution

The third proportional to 287,611.50 and 604,971 is: 1,272,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,611.50 : 604,971 = 604,971 : x
  2. Step 2: Convert to fraction form
    287,611.50/604,971 = 604,971/x
  3. Step 3: Cross multiply
    287,611.50x = 604,971 × 604,971
  4. Step 4: Simplify right side
    287,611.50x = 365,989,910,841
  5. Step 5: Solve for x
    x = 365,989,910,841/287,611.50
  6. Step 6: Final answer
    x = 1,272,514.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.