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Finding the Third Proportional to 282,887,424 and 609,303,168

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Solution

The third proportional to 282,887,424 and 609,303,168 is: 1,312,360,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,887,424 : 609,303,168 = 609,303,168 : x
  2. Step 2: Convert to fraction form
    282,887,424/609,303,168 = 609,303,168/x
  3. Step 3: Cross multiply
    282,887,424x = 609,303,168 × 609,303,168
  4. Step 4: Simplify right side
    282,887,424x = 371,250,350,534,836,224
  5. Step 5: Solve for x
    x = 371,250,350,534,836,224/282,887,424
  6. Step 6: Final answer
    x = 1,312,360,745.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.