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Finding the Third Proportional to 242,117 and 478,033

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Solution

The third proportional to 242,117 and 478,033 is: 943,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,117 : 478,033 = 478,033 : x
  2. Step 2: Convert to fraction form
    242,117/478,033 = 478,033/x
  3. Step 3: Cross multiply
    242,117x = 478,033 × 478,033
  4. Step 4: Simplify right side
    242,117x = 228,515,549,089
  5. Step 5: Solve for x
    x = 228,515,549,089/242,117
  6. Step 6: Final answer
    x = 943,822.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.