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Finding the Third Proportional to 380,671,407 and 573,527,398.50

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Solution

The third proportional to 380,671,407 and 573,527,398.50 is: 864,088,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,671,407 : 573,527,398.50 = 573,527,398.50 : x
  2. Step 2: Convert to fraction form
    380,671,407/573,527,398.50 = 573,527,398.50/x
  3. Step 3: Cross multiply
    380,671,407x = 573,527,398.50 × 573,527,398.50
  4. Step 4: Simplify right side
    380,671,407x = 328,933,676,830,177,792
  5. Step 5: Solve for x
    x = 328,933,676,830,177,792/380,671,407
  6. Step 6: Final answer
    x = 864,088,215.67

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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.