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Finding the Third Proportional to 475,521 and 738,673.50

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Solution

The third proportional to 475,521 and 738,673.50 is: 1,147,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,521 : 738,673.50 = 738,673.50 : x
  2. Step 2: Convert to fraction form
    475,521/738,673.50 = 738,673.50/x
  3. Step 3: Cross multiply
    475,521x = 738,673.50 × 738,673.50
  4. Step 4: Simplify right side
    475,521x = 545,638,539,602.25
  5. Step 5: Solve for x
    x = 545,638,539,602.25/475,521
  6. Step 6: Final answer
    x = 1,147,454.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.