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Finding the Third Proportional to 403,748 and 626,944

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Solution

The third proportional to 403,748 and 626,944 is: 973,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,748 : 626,944 = 626,944 : x
  2. Step 2: Convert to fraction form
    403,748/626,944 = 626,944/x
  3. Step 3: Cross multiply
    403,748x = 626,944 × 626,944
  4. Step 4: Simplify right side
    403,748x = 393,058,779,136
  5. Step 5: Solve for x
    x = 393,058,779,136/403,748
  6. Step 6: Final answer
    x = 973,525.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.