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Finding the Third Proportional to 328,068 and 710,550

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Solution

The third proportional to 328,068 and 710,550 is: 1,538,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,068 : 710,550 = 710,550 : x
  2. Step 2: Convert to fraction form
    328,068/710,550 = 710,550/x
  3. Step 3: Cross multiply
    328,068x = 710,550 × 710,550
  4. Step 4: Simplify right side
    328,068x = 504,881,302,500
  5. Step 5: Solve for x
    x = 504,881,302,500/328,068
  6. Step 6: Final answer
    x = 1,538,953.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.