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Finding the Third Proportional to 287,328.94 and 604,432.13

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Solution

The third proportional to 287,328.94 and 604,432.13 is: 1,271,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,328.94 : 604,432.13 = 604,432.13 : x
  2. Step 2: Convert to fraction form
    287,328.94/604,432.13 = 604,432.13/x
  3. Step 3: Cross multiply
    287,328.94x = 604,432.13 × 604,432.13
  4. Step 4: Simplify right side
    287,328.94x = 365,338,193,732.02
  5. Step 5: Solve for x
    x = 365,338,193,732.02/287,328.94
  6. Step 6: Final answer
    x = 1,271,498.08

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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.