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Finding the Third Proportional to 446,547 and 644,332.50

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Solution

The third proportional to 446,547 and 644,332.50 is: 929,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,547 : 644,332.50 = 644,332.50 : x
  2. Step 2: Convert to fraction form
    446,547/644,332.50 = 644,332.50/x
  3. Step 3: Cross multiply
    446,547x = 644,332.50 × 644,332.50
  4. Step 4: Simplify right side
    446,547x = 415,164,370,556.25
  5. Step 5: Solve for x
    x = 415,164,370,556.25/446,547
  6. Step 6: Final answer
    x = 929,721.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.