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Finding the Third Proportional to 470,421 and 710,010

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Solution

The third proportional to 470,421 and 710,010 is: 1,071,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,421 : 710,010 = 710,010 : x
  2. Step 2: Convert to fraction form
    470,421/710,010 = 710,010/x
  3. Step 3: Cross multiply
    470,421x = 710,010 × 710,010
  4. Step 4: Simplify right side
    470,421x = 504,114,200,100
  5. Step 5: Solve for x
    x = 504,114,200,100/470,421
  6. Step 6: Final answer
    x = 1,071,623.50

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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.