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Finding the Third Proportional to 380,358 and 592,347

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Solution

The third proportional to 380,358 and 592,347 is: 922,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,358 : 592,347 = 592,347 : x
  2. Step 2: Convert to fraction form
    380,358/592,347 = 592,347/x
  3. Step 3: Cross multiply
    380,358x = 592,347 × 592,347
  4. Step 4: Simplify right side
    380,358x = 350,874,968,409
  5. Step 5: Solve for x
    x = 350,874,968,409/380,358
  6. Step 6: Final answer
    x = 922,486.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.