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Finding the Third Proportional to 289,317,802.50 and 634,823,037

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Solution

The third proportional to 289,317,802.50 and 634,823,037 is: 1,392,932,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,317,802.50 : 634,823,037 = 634,823,037 : x
  2. Step 2: Convert to fraction form
    289,317,802.50/634,823,037 = 634,823,037/x
  3. Step 3: Cross multiply
    289,317,802.50x = 634,823,037 × 634,823,037
  4. Step 4: Simplify right side
    289,317,802.50x = 403,000,288,305,903,360
  5. Step 5: Solve for x
    x = 403,000,288,305,903,360/289,317,802.50
  6. Step 6: Final answer
    x = 1,392,932,909.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.