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Finding the Third Proportional to 369,675.56 and 539,966.25

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Solution

The third proportional to 369,675.56 and 539,966.25 is: 788,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,675.56 : 539,966.25 = 539,966.25 : x
  2. Step 2: Convert to fraction form
    369,675.56/539,966.25 = 539,966.25/x
  3. Step 3: Cross multiply
    369,675.56x = 539,966.25 × 539,966.25
  4. Step 4: Simplify right side
    369,675.56x = 291,563,551,139.06
  5. Step 5: Solve for x
    x = 291,563,551,139.06/369,675.56
  6. Step 6: Final answer
    x = 788,701.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.