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Finding the Third Proportional to 284,533,317 and 426,799,946.25

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Solution

The third proportional to 284,533,317 and 426,799,946.25 is: 640,199,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,533,317 : 426,799,946.25 = 426,799,946.25 : x
  2. Step 2: Convert to fraction form
    284,533,317/426,799,946.25 = 426,799,946.25/x
  3. Step 3: Cross multiply
    284,533,317x = 426,799,946.25 × 426,799,946.25
  4. Step 4: Simplify right side
    284,533,317x = 182,158,194,119,002,880
  5. Step 5: Solve for x
    x = 182,158,194,119,002,880/284,533,317
  6. Step 6: Final answer
    x = 640,199,875.50

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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.