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Finding the Third Proportional to 287,409.52 and 604,592.86

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Solution

The third proportional to 287,409.52 and 604,592.86 is: 1,271,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,409.52 : 604,592.86 = 604,592.86 : x
  2. Step 2: Convert to fraction form
    287,409.52/604,592.86 = 604,592.86/x
  3. Step 3: Cross multiply
    287,409.52x = 604,592.86 × 604,592.86
  4. Step 4: Simplify right side
    287,409.52x = 365,532,525,607.24
  5. Step 5: Solve for x
    x = 365,532,525,607.24/287,409.52
  6. Step 6: Final answer
    x = 1,271,817.76

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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.