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Finding the Third Proportional to 358,023 and 501,880.50

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Solution

The third proportional to 358,023 and 501,880.50 is: 703,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,023 : 501,880.50 = 501,880.50 : x
  2. Step 2: Convert to fraction form
    358,023/501,880.50 = 501,880.50/x
  3. Step 3: Cross multiply
    358,023x = 501,880.50 × 501,880.50
  4. Step 4: Simplify right side
    358,023x = 251,884,036,280.25
  5. Step 5: Solve for x
    x = 251,884,036,280.25/358,023
  6. Step 6: Final answer
    x = 703,541.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.