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Finding the Third Proportional to 259,216,365 and 566,852,424

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Solution

The third proportional to 259,216,365 and 566,852,424 is: 1,239,588,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,216,365 : 566,852,424 = 566,852,424 : x
  2. Step 2: Convert to fraction form
    259,216,365/566,852,424 = 566,852,424/x
  3. Step 3: Cross multiply
    259,216,365x = 566,852,424 × 566,852,424
  4. Step 4: Simplify right side
    259,216,365x = 321,321,670,594,675,776
  5. Step 5: Solve for x
    x = 321,321,670,594,675,776/259,216,365
  6. Step 6: Final answer
    x = 1,239,588,675.64

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