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Finding the Third Proportional to 630,830 and 945,308

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Solution

The third proportional to 630,830 and 945,308 is: 1,416,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,830 : 945,308 = 945,308 : x
  2. Step 2: Convert to fraction form
    630,830/945,308 = 945,308/x
  3. Step 3: Cross multiply
    630,830x = 945,308 × 945,308
  4. Step 4: Simplify right side
    630,830x = 893,607,214,864
  5. Step 5: Solve for x
    x = 893,607,214,864/630,830
  6. Step 6: Final answer
    x = 1,416,557.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.