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Finding the Third Proportional to 287,584 and 604,906

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Solution

The third proportional to 287,584 and 604,906 is: 1,272,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584 : 604,906 = 604,906 : x
  2. Step 2: Convert to fraction form
    287,584/604,906 = 604,906/x
  3. Step 3: Cross multiply
    287,584x = 604,906 × 604,906
  4. Step 4: Simplify right side
    287,584x = 365,911,268,836
  5. Step 5: Solve for x
    x = 365,911,268,836/287,584
  6. Step 6: Final answer
    x = 1,272,363.10

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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.