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Finding the Third Proportional to 359,724 and 553,572

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Solution

The third proportional to 359,724 and 553,572 is: 851,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,724 : 553,572 = 553,572 : x
  2. Step 2: Convert to fraction form
    359,724/553,572 = 553,572/x
  3. Step 3: Cross multiply
    359,724x = 553,572 × 553,572
  4. Step 4: Simplify right side
    359,724x = 306,441,959,184
  5. Step 5: Solve for x
    x = 306,441,959,184/359,724
  6. Step 6: Final answer
    x = 851,880.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.