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Finding the Third Proportional to 546,747 and 736,030.50

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Solution

The third proportional to 546,747 and 736,030.50 is: 990,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,747 : 736,030.50 = 736,030.50 : x
  2. Step 2: Convert to fraction form
    546,747/736,030.50 = 736,030.50/x
  3. Step 3: Cross multiply
    546,747x = 736,030.50 × 736,030.50
  4. Step 4: Simplify right side
    546,747x = 541,740,896,930.25
  5. Step 5: Solve for x
    x = 541,740,896,930.25/546,747
  6. Step 6: Final answer
    x = 990,843.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.