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Finding the Third Proportional to 528,023 and 756,660

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Solution

The third proportional to 528,023 and 756,660 is: 1,084,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,023 : 756,660 = 756,660 : x
  2. Step 2: Convert to fraction form
    528,023/756,660 = 756,660/x
  3. Step 3: Cross multiply
    528,023x = 756,660 × 756,660
  4. Step 4: Simplify right side
    528,023x = 572,534,355,600
  5. Step 5: Solve for x
    x = 572,534,355,600/528,023
  6. Step 6: Final answer
    x = 1,084,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.