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Finding the Third Proportional to 364,316,943 and 532,811,884.50

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Solution

The third proportional to 364,316,943 and 532,811,884.50 is: 779,234,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,316,943 : 532,811,884.50 = 532,811,884.50 : x
  2. Step 2: Convert to fraction form
    364,316,943/532,811,884.50 = 532,811,884.50/x
  3. Step 3: Cross multiply
    364,316,943x = 532,811,884.50 × 532,811,884.50
  4. Step 4: Simplify right side
    364,316,943x = 283,888,504,264,441,344
  5. Step 5: Solve for x
    x = 283,888,504,264,441,344/364,316,943
  6. Step 6: Final answer
    x = 779,234,975.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.