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Finding the Third Proportional to 364,575,280.50 and 520,969,594.50

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Solution

The third proportional to 364,575,280.50 and 520,969,594.50 is: 744,453,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,575,280.50 : 520,969,594.50 = 520,969,594.50 : x
  2. Step 2: Convert to fraction form
    364,575,280.50/520,969,594.50 = 520,969,594.50/x
  3. Step 3: Cross multiply
    364,575,280.50x = 520,969,594.50 × 520,969,594.50
  4. Step 4: Simplify right side
    364,575,280.50x = 271,409,318,393,494,432
  5. Step 5: Solve for x
    x = 271,409,318,393,494,432/364,575,280.50
  6. Step 6: Final answer
    x = 744,453,430.91

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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.