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Finding the Third Proportional to 510,300 and 730,458

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Solution

The third proportional to 510,300 and 730,458 is: 1,045,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,300 : 730,458 = 730,458 : x
  2. Step 2: Convert to fraction form
    510,300/730,458 = 730,458/x
  3. Step 3: Cross multiply
    510,300x = 730,458 × 730,458
  4. Step 4: Simplify right side
    510,300x = 533,568,889,764
  5. Step 5: Solve for x
    x = 533,568,889,764/510,300
  6. Step 6: Final answer
    x = 1,045,598.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.