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Finding the Third Proportional to 403,943,152 and 614,059,392

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Solution

The third proportional to 403,943,152 and 614,059,392 is: 933,470,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,943,152 : 614,059,392 = 614,059,392 : x
  2. Step 2: Convert to fraction form
    403,943,152/614,059,392 = 614,059,392/x
  3. Step 3: Cross multiply
    403,943,152x = 614,059,392 × 614,059,392
  4. Step 4: Simplify right side
    403,943,152x = 377,068,936,903,409,664
  5. Step 5: Solve for x
    x = 377,068,936,903,409,664/403,943,152
  6. Step 6: Final answer
    x = 933,470,304.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.