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Finding the Third Proportional to 471,983,521.50 and 740,402,874

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Solution

The third proportional to 471,983,521.50 and 740,402,874 is: 1,161,473,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,983,521.50 : 740,402,874 = 740,402,874 : x
  2. Step 2: Convert to fraction form
    471,983,521.50/740,402,874 = 740,402,874/x
  3. Step 3: Cross multiply
    471,983,521.50x = 740,402,874 × 740,402,874
  4. Step 4: Simplify right side
    471,983,521.50x = 548,196,415,827,459,904
  5. Step 5: Solve for x
    x = 548,196,415,827,459,904/471,983,521.50
  6. Step 6: Final answer
    x = 1,161,473,633.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.