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Finding the Third Proportional to 263,513,574 and 572,389,537.50

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Solution

The third proportional to 263,513,574 and 572,389,537.50 is: 1,243,312,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,513,574 : 572,389,537.50 = 572,389,537.50 : x
  2. Step 2: Convert to fraction form
    263,513,574/572,389,537.50 = 572,389,537.50/x
  3. Step 3: Cross multiply
    263,513,574x = 572,389,537.50 × 572,389,537.50
  4. Step 4: Simplify right side
    263,513,574x = 327,629,782,639,463,936
  5. Step 5: Solve for x
    x = 327,629,782,639,463,936/263,513,574
  6. Step 6: Final answer
    x = 1,243,312,735.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.