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Finding the Third Proportional to 287,563 and 623,050

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Solution

The third proportional to 287,563 and 623,050 is: 1,349,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,563 : 623,050 = 623,050 : x
  2. Step 2: Convert to fraction form
    287,563/623,050 = 623,050/x
  3. Step 3: Cross multiply
    287,563x = 623,050 × 623,050
  4. Step 4: Simplify right side
    287,563x = 388,191,302,500
  5. Step 5: Solve for x
    x = 388,191,302,500/287,563
  6. Step 6: Final answer
    x = 1,349,934.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.