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Finding the Third Proportional to 572,506 and 777,520.50

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Solution

The third proportional to 572,506 and 777,520.50 is: 1,055,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,506 : 777,520.50 = 777,520.50 : x
  2. Step 2: Convert to fraction form
    572,506/777,520.50 = 777,520.50/x
  3. Step 3: Cross multiply
    572,506x = 777,520.50 × 777,520.50
  4. Step 4: Simplify right side
    572,506x = 604,538,127,920.25
  5. Step 5: Solve for x
    x = 604,538,127,920.25/572,506
  6. Step 6: Final answer
    x = 1,055,950.73

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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.