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Finding the Third Proportional to 380,356,225.50 and 573,527,565

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Solution

The third proportional to 380,356,225.50 and 573,527,565 is: 864,804,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,356,225.50 : 573,527,565 = 573,527,565 : x
  2. Step 2: Convert to fraction form
    380,356,225.50/573,527,565 = 573,527,565/x
  3. Step 3: Cross multiply
    380,356,225.50x = 573,527,565 × 573,527,565
  4. Step 4: Simplify right side
    380,356,225.50x = 328,933,867,814,829,248
  5. Step 5: Solve for x
    x = 328,933,867,814,829,248/380,356,225.50
  6. Step 6: Final answer
    x = 864,804,742.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.