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Finding the Third Proportional to 497,610 and 750,006

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Solution

The third proportional to 497,610 and 750,006 is: 1,130,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,610 : 750,006 = 750,006 : x
  2. Step 2: Convert to fraction form
    497,610/750,006 = 750,006/x
  3. Step 3: Cross multiply
    497,610x = 750,006 × 750,006
  4. Step 4: Simplify right side
    497,610x = 562,509,000,036
  5. Step 5: Solve for x
    x = 562,509,000,036/497,610
  6. Step 6: Final answer
    x = 1,130,421.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.