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Finding the Third Proportional to 460,998 and 621,459

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Solution

The third proportional to 460,998 and 621,459 is: 837,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,998 : 621,459 = 621,459 : x
  2. Step 2: Convert to fraction form
    460,998/621,459 = 621,459/x
  3. Step 3: Cross multiply
    460,998x = 621,459 × 621,459
  4. Step 4: Simplify right side
    460,998x = 386,211,288,681
  5. Step 5: Solve for x
    x = 386,211,288,681/460,998
  6. Step 6: Final answer
    x = 837,772.16

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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.