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Finding the Third Proportional to 411,918,135.75 and 621,707,897.25

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Solution

The third proportional to 411,918,135.75 and 621,707,897.25 is: 938,343,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,918,135.75 : 621,707,897.25 = 621,707,897.25 : x
  2. Step 2: Convert to fraction form
    411,918,135.75/621,707,897.25 = 621,707,897.25/x
  3. Step 3: Cross multiply
    411,918,135.75x = 621,707,897.25 × 621,707,897.25
  4. Step 4: Simplify right side
    411,918,135.75x = 386,520,709,503,016,576
  5. Step 5: Solve for x
    x = 386,520,709,503,016,576/411,918,135.75
  6. Step 6: Final answer
    x = 938,343,510.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.