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Finding the Third Proportional to 448,724,166.25 and 689,295,260.50

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Solution

The third proportional to 448,724,166.25 and 689,295,260.50 is: 1,058,841,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,166.25 : 689,295,260.50 = 689,295,260.50 : x
  2. Step 2: Convert to fraction form
    448,724,166.25/689,295,260.50 = 689,295,260.50/x
  3. Step 3: Cross multiply
    448,724,166.25x = 689,295,260.50 × 689,295,260.50
  4. Step 4: Simplify right side
    448,724,166.25x = 475,127,956,147,762,880
  5. Step 5: Solve for x
    x = 475,127,956,147,762,880/448,724,166.25
  6. Step 6: Final answer
    x = 1,058,841,916.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.