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Finding the Third Proportional to 262,598 and 572,724

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Solution

The third proportional to 262,598 and 572,724 is: 1,249,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,598 : 572,724 = 572,724 : x
  2. Step 2: Convert to fraction form
    262,598/572,724 = 572,724/x
  3. Step 3: Cross multiply
    262,598x = 572,724 × 572,724
  4. Step 4: Simplify right side
    262,598x = 328,012,780,176
  5. Step 5: Solve for x
    x = 328,012,780,176/262,598
  6. Step 6: Final answer
    x = 1,249,106.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.