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Finding the Third Proportional to 559,292,369.75 and 841,273,599.75

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Solution

The third proportional to 559,292,369.75 and 841,273,599.75 is: 1,265,422,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,292,369.75 : 841,273,599.75 = 841,273,599.75 : x
  2. Step 2: Convert to fraction form
    559,292,369.75/841,273,599.75 = 841,273,599.75/x
  3. Step 3: Cross multiply
    559,292,369.75x = 841,273,599.75 × 841,273,599.75
  4. Step 4: Simplify right side
    559,292,369.75x = 707,741,269,636,323,200
  5. Step 5: Solve for x
    x = 707,741,269,636,323,200/559,292,369.75
  6. Step 6: Final answer
    x = 1,265,422,716.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.