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Finding the Third Proportional to 602,051.50 and 825,576

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Solution

The third proportional to 602,051.50 and 825,576 is: 1,132,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,051.50 : 825,576 = 825,576 : x
  2. Step 2: Convert to fraction form
    602,051.50/825,576 = 825,576/x
  3. Step 3: Cross multiply
    602,051.50x = 825,576 × 825,576
  4. Step 4: Simplify right side
    602,051.50x = 681,575,731,776
  5. Step 5: Solve for x
    x = 681,575,731,776/602,051.50
  6. Step 6: Final answer
    x = 1,132,088.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.