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Finding the Third Proportional to 572,030.13 and 776,010.88

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Solution

The third proportional to 572,030.13 and 776,010.88 is: 1,052,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,030.13 : 776,010.88 = 776,010.88 : x
  2. Step 2: Convert to fraction form
    572,030.13/776,010.88 = 776,010.88/x
  3. Step 3: Cross multiply
    572,030.13x = 776,010.88 × 776,010.88
  4. Step 4: Simplify right side
    572,030.13x = 602,192,878,118.27
  5. Step 5: Solve for x
    x = 602,192,878,118.27/572,030.13
  6. Step 6: Final answer
    x = 1,052,729.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.