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Finding the Third Proportional to 421,971.19 and 602,987.63

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Solution

The third proportional to 421,971.19 and 602,987.63 is: 861,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,971.19 : 602,987.63 = 602,987.63 : x
  2. Step 2: Convert to fraction form
    421,971.19/602,987.63 = 602,987.63/x
  3. Step 3: Cross multiply
    421,971.19x = 602,987.63 × 602,987.63
  4. Step 4: Simplify right side
    421,971.19x = 363,594,075,903.14
  5. Step 5: Solve for x
    x = 363,594,075,903.14/421,971.19
  6. Step 6: Final answer
    x = 861,656.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.