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Finding the Third Proportional to 250,419,526.50 and 346,032,456

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Solution

The third proportional to 250,419,526.50 and 346,032,456 is: 478,151,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,419,526.50 : 346,032,456 = 346,032,456 : x
  2. Step 2: Convert to fraction form
    250,419,526.50/346,032,456 = 346,032,456/x
  3. Step 3: Cross multiply
    250,419,526.50x = 346,032,456 × 346,032,456
  4. Step 4: Simplify right side
    250,419,526.50x = 119,738,460,605,391,936
  5. Step 5: Solve for x
    x = 119,738,460,605,391,936/250,419,526.50
  6. Step 6: Final answer
    x = 478,151,453.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.