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Finding the Third Proportional to 259,216,367 and 566,852,428

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Solution

The third proportional to 259,216,367 and 566,852,428 is: 1,239,588,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,216,367 : 566,852,428 = 566,852,428 : x
  2. Step 2: Convert to fraction form
    259,216,367/566,852,428 = 566,852,428/x
  3. Step 3: Cross multiply
    259,216,367x = 566,852,428 × 566,852,428
  4. Step 4: Simplify right side
    259,216,367x = 321,321,675,129,495,168
  5. Step 5: Solve for x
    x = 321,321,675,129,495,168/259,216,367
  6. Step 6: Final answer
    x = 1,239,588,683.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.