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Finding the Third Proportional to 294,447,497.50 and 619,355,531

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Solution

The third proportional to 294,447,497.50 and 619,355,531 is: 1,302,783,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,447,497.50 : 619,355,531 = 619,355,531 : x
  2. Step 2: Convert to fraction form
    294,447,497.50/619,355,531 = 619,355,531/x
  3. Step 3: Cross multiply
    294,447,497.50x = 619,355,531 × 619,355,531
  4. Step 4: Simplify right side
    294,447,497.50x = 383,601,273,780,291,968
  5. Step 5: Solve for x
    x = 383,601,273,780,291,968/294,447,497.50
  6. Step 6: Final answer
    x = 1,302,783,270.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.