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Finding the Third Proportional to 567,570 and 849,790.50

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Solution

The third proportional to 567,570 and 849,790.50 is: 1,272,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,570 : 849,790.50 = 849,790.50 : x
  2. Step 2: Convert to fraction form
    567,570/849,790.50 = 849,790.50/x
  3. Step 3: Cross multiply
    567,570x = 849,790.50 × 849,790.50
  4. Step 4: Simplify right side
    567,570x = 722,143,893,890.25
  5. Step 5: Solve for x
    x = 722,143,893,890.25/567,570
  6. Step 6: Final answer
    x = 1,272,343.31

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Why These Related Problems?

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