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Finding the Third Proportional to 526,503 and 770,008.50

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Solution

The third proportional to 526,503 and 770,008.50 is: 1,126,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,503 : 770,008.50 = 770,008.50 : x
  2. Step 2: Convert to fraction form
    526,503/770,008.50 = 770,008.50/x
  3. Step 3: Cross multiply
    526,503x = 770,008.50 × 770,008.50
  4. Step 4: Simplify right side
    526,503x = 592,913,090,072.25
  5. Step 5: Solve for x
    x = 592,913,090,072.25/526,503
  6. Step 6: Final answer
    x = 1,126,134.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.