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Finding the Third Proportional to 499,358 and 730,347

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Solution

The third proportional to 499,358 and 730,347 is: 1,068,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,358 : 730,347 = 730,347 : x
  2. Step 2: Convert to fraction form
    499,358/730,347 = 730,347/x
  3. Step 3: Cross multiply
    499,358x = 730,347 × 730,347
  4. Step 4: Simplify right side
    499,358x = 533,406,740,409
  5. Step 5: Solve for x
    x = 533,406,740,409/499,358
  6. Step 6: Final answer
    x = 1,068,185.03

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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.