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Finding the Third Proportional to 364,575,294 and 520,969,615

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Solution

The third proportional to 364,575,294 and 520,969,615 is: 744,453,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,575,294 : 520,969,615 = 520,969,615 : x
  2. Step 2: Convert to fraction form
    364,575,294/520,969,615 = 520,969,615/x
  3. Step 3: Cross multiply
    364,575,294x = 520,969,615 × 520,969,615
  4. Step 4: Simplify right side
    364,575,294x = 271,409,339,753,248,224
  5. Step 5: Solve for x
    x = 271,409,339,753,248,224/364,575,294
  6. Step 6: Final answer
    x = 744,453,461.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.