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Finding the Third Proportional to 364,289,082.75 and 559,592,589.94

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Solution

The third proportional to 364,289,082.75 and 559,592,589.94 is: 859,602,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,289,082.75 : 559,592,589.94 = 559,592,589.94 : x
  2. Step 2: Convert to fraction form
    364,289,082.75/559,592,589.94 = 559,592,589.94/x
  3. Step 3: Cross multiply
    364,289,082.75x = 559,592,589.94 × 559,592,589.94
  4. Step 4: Simplify right side
    364,289,082.75x = 313,143,866,712,959,040
  5. Step 5: Solve for x
    x = 313,143,866,712,959,040/364,289,082.75
  6. Step 6: Final answer
    x = 859,602,665.96

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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.