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Finding the Third Proportional to 333,070.50 and 493,863

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Solution

The third proportional to 333,070.50 and 493,863 is: 732,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,070.50 : 493,863 = 493,863 : x
  2. Step 2: Convert to fraction form
    333,070.50/493,863 = 493,863/x
  3. Step 3: Cross multiply
    333,070.50x = 493,863 × 493,863
  4. Step 4: Simplify right side
    333,070.50x = 243,900,662,769
  5. Step 5: Solve for x
    x = 243,900,662,769/333,070.50
  6. Step 6: Final answer
    x = 732,279.39

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.