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Finding the Third Proportional to 572,480 and 753,024

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Solution

The third proportional to 572,480 and 753,024 is: 990,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,480 : 753,024 = 753,024 : x
  2. Step 2: Convert to fraction form
    572,480/753,024 = 753,024/x
  3. Step 3: Cross multiply
    572,480x = 753,024 × 753,024
  4. Step 4: Simplify right side
    572,480x = 567,045,144,576
  5. Step 5: Solve for x
    x = 567,045,144,576/572,480
  6. Step 6: Final answer
    x = 990,506.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.