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Finding the Third Proportional to 321,440,594 and 697,678,658

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Solution

The third proportional to 321,440,594 and 697,678,658 is: 1,514,293,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,440,594 : 697,678,658 = 697,678,658 : x
  2. Step 2: Convert to fraction form
    321,440,594/697,678,658 = 697,678,658/x
  3. Step 3: Cross multiply
    321,440,594x = 697,678,658 × 697,678,658
  4. Step 4: Simplify right side
    321,440,594x = 486,755,509,828,680,960
  5. Step 5: Solve for x
    x = 486,755,509,828,680,960/321,440,594
  6. Step 6: Final answer
    x = 1,514,293,835.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.