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Finding the Third Proportional to 510,024 and 749,483.50

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Solution

The third proportional to 510,024 and 749,483.50 is: 1,101,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,024 : 749,483.50 = 749,483.50 : x
  2. Step 2: Convert to fraction form
    510,024/749,483.50 = 749,483.50/x
  3. Step 3: Cross multiply
    510,024x = 749,483.50 × 749,483.50
  4. Step 4: Simplify right side
    510,024x = 561,725,516,772.25
  5. Step 5: Solve for x
    x = 561,725,516,772.25/510,024
  6. Step 6: Final answer
    x = 1,101,370.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.