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Finding the Third Proportional to 310,026,120.75 and 459,227,574

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Solution

The third proportional to 310,026,120.75 and 459,227,574 is: 680,232,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,026,120.75 : 459,227,574 = 459,227,574 : x
  2. Step 2: Convert to fraction form
    310,026,120.75/459,227,574 = 459,227,574/x
  3. Step 3: Cross multiply
    310,026,120.75x = 459,227,574 × 459,227,574
  4. Step 4: Simplify right side
    310,026,120.75x = 210,889,964,721,925,472
  5. Step 5: Solve for x
    x = 210,889,964,721,925,472/310,026,120.75
  6. Step 6: Final answer
    x = 680,232,892.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.