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Finding the Third Proportional to 284,533,319 and 426,799,949

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Solution

The third proportional to 284,533,319 and 426,799,949 is: 640,199,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,533,319 : 426,799,949 = 426,799,949 : x
  2. Step 2: Convert to fraction form
    284,533,319/426,799,949 = 426,799,949/x
  3. Step 3: Cross multiply
    284,533,319x = 426,799,949 × 426,799,949
  4. Step 4: Simplify right side
    284,533,319x = 182,158,196,466,402,592
  5. Step 5: Solve for x
    x = 182,158,196,466,402,592/284,533,319
  6. Step 6: Final answer
    x = 640,199,879.25

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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.