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Finding the Third Proportional to 235,154 and 507,478

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Solution

The third proportional to 235,154 and 507,478 is: 1,095,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,154 : 507,478 = 507,478 : x
  2. Step 2: Convert to fraction form
    235,154/507,478 = 507,478/x
  3. Step 3: Cross multiply
    235,154x = 507,478 × 507,478
  4. Step 4: Simplify right side
    235,154x = 257,533,920,484
  5. Step 5: Solve for x
    x = 257,533,920,484/235,154
  6. Step 6: Final answer
    x = 1,095,171.34

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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.