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Finding the Third Proportional to 326,513,317.50 and 710,420,076

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Solution

The third proportional to 326,513,317.50 and 710,420,076 is: 1,545,715,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,513,317.50 : 710,420,076 = 710,420,076 : x
  2. Step 2: Convert to fraction form
    326,513,317.50/710,420,076 = 710,420,076/x
  3. Step 3: Cross multiply
    326,513,317.50x = 710,420,076 × 710,420,076
  4. Step 4: Simplify right side
    326,513,317.50x = 504,696,684,383,845,760
  5. Step 5: Solve for x
    x = 504,696,684,383,845,760/326,513,317.50
  6. Step 6: Final answer
    x = 1,545,715,464.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.