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Finding the Third Proportional to 284,533,312 and 426,799,941

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Solution

The third proportional to 284,533,312 and 426,799,941 is: 640,199,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,533,312 : 426,799,941 = 426,799,941 : x
  2. Step 2: Convert to fraction form
    284,533,312/426,799,941 = 426,799,941/x
  3. Step 3: Cross multiply
    284,533,312x = 426,799,941 × 426,799,941
  4. Step 4: Simplify right side
    284,533,312x = 182,158,189,637,603,488
  5. Step 5: Solve for x
    x = 182,158,189,637,603,488/284,533,312
  6. Step 6: Final answer
    x = 640,199,871.00

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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.