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Finding the Third Proportional to 572,313.75 and 777,277.50

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Solution

The third proportional to 572,313.75 and 777,277.50 is: 1,055,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,313.75 : 777,277.50 = 777,277.50 : x
  2. Step 2: Convert to fraction form
    572,313.75/777,277.50 = 777,277.50/x
  3. Step 3: Cross multiply
    572,313.75x = 777,277.50 × 777,277.50
  4. Step 4: Simplify right side
    572,313.75x = 604,160,312,006.25
  5. Step 5: Solve for x
    x = 604,160,312,006.25/572,313.75
  6. Step 6: Final answer
    x = 1,055,645.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.