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Finding the Third Proportional to 452,784 and 612,746

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Solution

The third proportional to 452,784 and 612,746 is: 829,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,784 : 612,746 = 612,746 : x
  2. Step 2: Convert to fraction form
    452,784/612,746 = 612,746/x
  3. Step 3: Cross multiply
    452,784x = 612,746 × 612,746
  4. Step 4: Simplify right side
    452,784x = 375,457,660,516
  5. Step 5: Solve for x
    x = 375,457,660,516/452,784
  6. Step 6: Final answer
    x = 829,220.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.