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Finding the Third Proportional to 562,920 and 841,570.50

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Solution

The third proportional to 562,920 and 841,570.50 is: 1,258,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,920 : 841,570.50 = 841,570.50 : x
  2. Step 2: Convert to fraction form
    562,920/841,570.50 = 841,570.50/x
  3. Step 3: Cross multiply
    562,920x = 841,570.50 × 841,570.50
  4. Step 4: Simplify right side
    562,920x = 708,240,906,470.25
  5. Step 5: Solve for x
    x = 708,240,906,470.25/562,920
  6. Step 6: Final answer
    x = 1,258,155.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.