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Finding the Third Proportional to 326,554,834 and 705,058,209

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Solution

The third proportional to 326,554,834 and 705,058,209 is: 1,522,277,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,554,834 : 705,058,209 = 705,058,209 : x
  2. Step 2: Convert to fraction form
    326,554,834/705,058,209 = 705,058,209/x
  3. Step 3: Cross multiply
    326,554,834x = 705,058,209 × 705,058,209
  4. Step 4: Simplify right side
    326,554,834x = 497,107,078,078,287,680
  5. Step 5: Solve for x
    x = 497,107,078,078,287,680/326,554,834
  6. Step 6: Final answer
    x = 1,522,277,505.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.