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Finding the Third Proportional to 448,402 and 655,358

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Solution

The third proportional to 448,402 and 655,358 is: 957,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,402 : 655,358 = 655,358 : x
  2. Step 2: Convert to fraction form
    448,402/655,358 = 655,358/x
  3. Step 3: Cross multiply
    448,402x = 655,358 × 655,358
  4. Step 4: Simplify right side
    448,402x = 429,494,108,164
  5. Step 5: Solve for x
    x = 429,494,108,164/448,402
  6. Step 6: Final answer
    x = 957,832.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.