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Finding the Third Proportional to 293,579,964 and 466,405,728.75

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Solution

The third proportional to 293,579,964 and 466,405,728.75 is: 740,971,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,579,964 : 466,405,728.75 = 466,405,728.75 : x
  2. Step 2: Convert to fraction form
    293,579,964/466,405,728.75 = 466,405,728.75/x
  3. Step 3: Cross multiply
    293,579,964x = 466,405,728.75 × 466,405,728.75
  4. Step 4: Simplify right side
    293,579,964x = 217,534,303,810,818,592
  5. Step 5: Solve for x
    x = 217,534,303,810,818,592/293,579,964
  6. Step 6: Final answer
    x = 740,971,219.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.