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Finding the Third Proportional to 370,488 and 563,724

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Solution

The third proportional to 370,488 and 563,724 is: 857,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,488 : 563,724 = 563,724 : x
  2. Step 2: Convert to fraction form
    370,488/563,724 = 563,724/x
  3. Step 3: Cross multiply
    370,488x = 563,724 × 563,724
  4. Step 4: Simplify right side
    370,488x = 317,784,748,176
  5. Step 5: Solve for x
    x = 317,784,748,176/370,488
  6. Step 6: Final answer
    x = 857,746.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.