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Finding the Third Proportional to 430,080 and 601,527

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Solution

The third proportional to 430,080 and 601,527 is: 841,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,080 : 601,527 = 601,527 : x
  2. Step 2: Convert to fraction form
    430,080/601,527 = 601,527/x
  3. Step 3: Cross multiply
    430,080x = 601,527 × 601,527
  4. Step 4: Simplify right side
    430,080x = 361,834,731,729
  5. Step 5: Solve for x
    x = 361,834,731,729/430,080
  6. Step 6: Final answer
    x = 841,319.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.