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Finding the Third Proportional to 357,633 and 540,094.50

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Solution

The third proportional to 357,633 and 540,094.50 is: 815,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,633 : 540,094.50 = 540,094.50 : x
  2. Step 2: Convert to fraction form
    357,633/540,094.50 = 540,094.50/x
  3. Step 3: Cross multiply
    357,633x = 540,094.50 × 540,094.50
  4. Step 4: Simplify right side
    357,633x = 291,702,068,930.25
  5. Step 5: Solve for x
    x = 291,702,068,930.25/357,633
  6. Step 6: Final answer
    x = 815,646.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.