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Finding the Third Proportional to 403,943,184 and 614,059,440.75

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Solution

The third proportional to 403,943,184 and 614,059,440.75 is: 933,470,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,943,184 : 614,059,440.75 = 614,059,440.75 : x
  2. Step 2: Convert to fraction form
    403,943,184/614,059,440.75 = 614,059,440.75/x
  3. Step 3: Cross multiply
    403,943,184x = 614,059,440.75 × 614,059,440.75
  4. Step 4: Simplify right side
    403,943,184x = 377,068,996,774,202,752
  5. Step 5: Solve for x
    x = 377,068,996,774,202,752/403,943,184
  6. Step 6: Final answer
    x = 933,470,378.29

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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.