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Finding the Third Proportional to 248,430 and 514,572

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Solution

The third proportional to 248,430 and 514,572 is: 1,065,830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,430 : 514,572 = 514,572 : x
  2. Step 2: Convert to fraction form
    248,430/514,572 = 514,572/x
  3. Step 3: Cross multiply
    248,430x = 514,572 × 514,572
  4. Step 4: Simplify right side
    248,430x = 264,784,343,184
  5. Step 5: Solve for x
    x = 264,784,343,184/248,430
  6. Step 6: Final answer
    x = 1,065,830.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.