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Finding the Third Proportional to 653,397.75 and 989,948.25

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Solution

The third proportional to 653,397.75 and 989,948.25 is: 1,499,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,397.75 : 989,948.25 = 989,948.25 : x
  2. Step 2: Convert to fraction form
    653,397.75/989,948.25 = 989,948.25/x
  3. Step 3: Cross multiply
    653,397.75x = 989,948.25 × 989,948.25
  4. Step 4: Simplify right side
    653,397.75x = 979,997,537,678.06
  5. Step 5: Solve for x
    x = 979,997,537,678.06/653,397.75
  6. Step 6: Final answer
    x = 1,499,848.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.