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Finding the Third Proportional to 233,465.63 and 360,564.19

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Solution

The third proportional to 233,465.63 and 360,564.19 is: 556,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,465.63 : 360,564.19 = 360,564.19 : x
  2. Step 2: Convert to fraction form
    233,465.63/360,564.19 = 360,564.19/x
  3. Step 3: Cross multiply
    233,465.63x = 360,564.19 × 360,564.19
  4. Step 4: Simplify right side
    233,465.63x = 130,006,533,307.54
  5. Step 5: Solve for x
    x = 130,006,533,307.54/233,465.63
  6. Step 6: Final answer
    x = 556,855.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.