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Finding the Third Proportional to 489,011 and 748,047.50

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Solution

The third proportional to 489,011 and 748,047.50 is: 1,144,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,011 : 748,047.50 = 748,047.50 : x
  2. Step 2: Convert to fraction form
    489,011/748,047.50 = 748,047.50/x
  3. Step 3: Cross multiply
    489,011x = 748,047.50 × 748,047.50
  4. Step 4: Simplify right side
    489,011x = 559,575,062,256.25
  5. Step 5: Solve for x
    x = 559,575,062,256.25/489,011
  6. Step 6: Final answer
    x = 1,144,299.54

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.