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Finding the Third Proportional to 235,053 and 507,505.50

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Solution

The third proportional to 235,053 and 507,505.50 is: 1,095,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,053 : 507,505.50 = 507,505.50 : x
  2. Step 2: Convert to fraction form
    235,053/507,505.50 = 507,505.50/x
  3. Step 3: Cross multiply
    235,053x = 507,505.50 × 507,505.50
  4. Step 4: Simplify right side
    235,053x = 257,561,832,530.25
  5. Step 5: Solve for x
    x = 257,561,832,530.25/235,053
  6. Step 6: Final answer
    x = 1,095,760.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.