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Finding the Third Proportional to 382,254,561 and 590,280,433.50

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Solution

The third proportional to 382,254,561 and 590,280,433.50 is: 911,515,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,254,561 : 590,280,433.50 = 590,280,433.50 : x
  2. Step 2: Convert to fraction form
    382,254,561/590,280,433.50 = 590,280,433.50/x
  3. Step 3: Cross multiply
    382,254,561x = 590,280,433.50 × 590,280,433.50
  4. Step 4: Simplify right side
    382,254,561x = 348,430,990,172,947,904
  5. Step 5: Solve for x
    x = 348,430,990,172,947,904/382,254,561
  6. Step 6: Final answer
    x = 911,515,586.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.