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Finding the Third Proportional to 450,812,142.50 and 689,625,104.75

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Solution

The third proportional to 450,812,142.50 and 689,625,104.75 is: 1,054,946,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,812,142.50 : 689,625,104.75 = 689,625,104.75 : x
  2. Step 2: Convert to fraction form
    450,812,142.50/689,625,104.75 = 689,625,104.75/x
  3. Step 3: Cross multiply
    450,812,142.50x = 689,625,104.75 × 689,625,104.75
  4. Step 4: Simplify right side
    450,812,142.50x = 475,582,785,101,448,448
  5. Step 5: Solve for x
    x = 475,582,785,101,448,448/450,812,142.50
  6. Step 6: Final answer
    x = 1,054,946,706.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.