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Finding the Third Proportional to 551,490 and 759,430.50

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Solution

The third proportional to 551,490 and 759,430.50 is: 1,045,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,490 : 759,430.50 = 759,430.50 : x
  2. Step 2: Convert to fraction form
    551,490/759,430.50 = 759,430.50/x
  3. Step 3: Cross multiply
    551,490x = 759,430.50 × 759,430.50
  4. Step 4: Simplify right side
    551,490x = 576,734,684,330.25
  5. Step 5: Solve for x
    x = 576,734,684,330.25/551,490
  6. Step 6: Final answer
    x = 1,045,775.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.