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Finding the Third Proportional to 283,216,502 and 437,402,433

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Solution

The third proportional to 283,216,502 and 437,402,433 is: 675,528,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216,502 : 437,402,433 = 437,402,433 : x
  2. Step 2: Convert to fraction form
    283,216,502/437,402,433 = 437,402,433/x
  3. Step 3: Cross multiply
    283,216,502x = 437,402,433 × 437,402,433
  4. Step 4: Simplify right side
    283,216,502x = 191,320,888,394,319,488
  5. Step 5: Solve for x
    x = 191,320,888,394,319,488/283,216,502
  6. Step 6: Final answer
    x = 675,528,745.83

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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.