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Finding the Third Proportional to 306,428,839 and 487,824,562.50

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Solution

The third proportional to 306,428,839 and 487,824,562.50 is: 776,600,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,428,839 : 487,824,562.50 = 487,824,562.50 : x
  2. Step 2: Convert to fraction form
    306,428,839/487,824,562.50 = 487,824,562.50/x
  3. Step 3: Cross multiply
    306,428,839x = 487,824,562.50 × 487,824,562.50
  4. Step 4: Simplify right side
    306,428,839x = 237,972,803,778,316,416
  5. Step 5: Solve for x
    x = 237,972,803,778,316,416/306,428,839
  6. Step 6: Final answer
    x = 776,600,546.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.