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Finding the Third Proportional to 283,216,484 and 437,402,415

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Solution

The third proportional to 283,216,484 and 437,402,415 is: 675,528,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216,484 : 437,402,415 = 437,402,415 : x
  2. Step 2: Convert to fraction form
    283,216,484/437,402,415 = 437,402,415/x
  3. Step 3: Cross multiply
    283,216,484x = 437,402,415 × 437,402,415
  4. Step 4: Simplify right side
    283,216,484x = 191,320,872,647,832,224
  5. Step 5: Solve for x
    x = 191,320,872,647,832,224/283,216,484
  6. Step 6: Final answer
    x = 675,528,733.16

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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.