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Finding the Third Proportional to 287,176.50 and 633,033

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Solution

The third proportional to 287,176.50 and 633,033 is: 1,395,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,176.50 : 633,033 = 633,033 : x
  2. Step 2: Convert to fraction form
    287,176.50/633,033 = 633,033/x
  3. Step 3: Cross multiply
    287,176.50x = 633,033 × 633,033
  4. Step 4: Simplify right side
    287,176.50x = 400,730,779,089
  5. Step 5: Solve for x
    x = 400,730,779,089/287,176.50
  6. Step 6: Final answer
    x = 1,395,416.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.